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Finding the Fourth Proportional to 472,091.81, 708,755.03 and 280,316.40

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Solution

The fourth proportional to 472,091.81, 708,755.03 and 280,316.40 is: 420,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,091.81 : 708,755.03 = 280,316.40 : x
  2. Step 2: Convert to fraction form
    472,091.81/708,755.03 = 280,316.40/x
  3. Step 3: Cross multiply
    472,091.81x = 708,755.03 × 280,316.40
  4. Step 4: Simplify right side
    472,091.81x = 198,675,657,089.91
  5. Step 5: Solve for x
    x = 198,675,657,089.91/472,091.81
  6. Step 6: Final answer
    x = 420,841.15

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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.