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Finding the Fourth Proportional to 515,737.05, 711,705.92 and 286,281.06

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Solution

The fourth proportional to 515,737.05, 711,705.92 and 286,281.06 is: 395,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,737.05 : 711,705.92 = 286,281.06 : x
  2. Step 2: Convert to fraction form
    515,737.05/711,705.92 = 286,281.06/x
  3. Step 3: Cross multiply
    515,737.05x = 711,705.92 × 286,281.06
  4. Step 4: Simplify right side
    515,737.05x = 203,747,925,185.88
  5. Step 5: Solve for x
    x = 203,747,925,185.88/515,737.05
  6. Step 6: Final answer
    x = 395,061.64

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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.