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Finding the Fourth Proportional to 497,363.76, 686,340.54 and 282,503.16

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Solution

The fourth proportional to 497,363.76, 686,340.54 and 282,503.16 is: 389,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,363.76 : 686,340.54 = 282,503.16 : x
  2. Step 2: Convert to fraction form
    497,363.76/686,340.54 = 282,503.16/x
  3. Step 3: Cross multiply
    497,363.76x = 686,340.54 × 282,503.16
  4. Step 4: Simplify right side
    497,363.76x = 193,893,371,386.11
  5. Step 5: Solve for x
    x = 193,893,371,386.11/497,363.76
  6. Step 6: Final answer
    x = 389,842.18

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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.