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Finding the Fourth Proportional to 472,187,803.80, 708,281,705.70 and 149,029,685.40

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Solution

The fourth proportional to 472,187,803.80, 708,281,705.70 and 149,029,685.40 is: 223,544,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,187,803.80 : 708,281,705.70 = 149,029,685.40 : x
  2. Step 2: Convert to fraction form
    472,187,803.80/708,281,705.70 = 149,029,685.40/x
  3. Step 3: Cross multiply
    472,187,803.80x = 708,281,705.70 × 149,029,685.40
  4. Step 4: Simplify right side
    472,187,803.80x = 105,554,999,775,046,400
  5. Step 5: Solve for x
    x = 105,554,999,775,046,400/472,187,803.80
  6. Step 6: Final answer
    x = 223,544,528.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.