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Finding the Fourth Proportional to 1,281,649,471.02, 1,768,711,047.93 and 724,815,787.50

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Solution

The fourth proportional to 1,281,649,471.02, 1,768,711,047.93 and 724,815,787.50 is: 1,000,265,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,649,471.02 : 1,768,711,047.93 = 724,815,787.50 : x
  2. Step 2: Convert to fraction form
    1,281,649,471.02/1,768,711,047.93 = 724,815,787.50/x
  3. Step 3: Cross multiply
    1,281,649,471.02x = 1,768,711,047.93 × 724,815,787.50
  4. Step 4: Simplify right side
    1,281,649,471.02x = 1,281,989,691,065,333,248
  5. Step 5: Solve for x
    x = 1,281,989,691,065,333,248/1,281,649,471.02
  6. Step 6: Final answer
    x = 1,000,265,454.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.