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Finding the Fourth Proportional to 642,770.16, 963,766.32 and 287,718

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Solution

The fourth proportional to 642,770.16, 963,766.32 and 287,718 is: 431,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,770.16 : 963,766.32 = 287,718 : x
  2. Step 2: Convert to fraction form
    642,770.16/963,766.32 = 287,718/x
  3. Step 3: Cross multiply
    642,770.16x = 963,766.32 × 287,718
  4. Step 4: Simplify right side
    642,770.16x = 277,292,918,057.76
  5. Step 5: Solve for x
    x = 277,292,918,057.76/642,770.16
  6. Step 6: Final answer
    x = 431,402.91

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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.