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Finding the Fourth Proportional to 497,488.50, 686,552.66 and 282,664.95

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Solution

The fourth proportional to 497,488.50, 686,552.66 and 282,664.95 is: 390,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,488.50 : 686,552.66 = 282,664.95 : x
  2. Step 2: Convert to fraction form
    497,488.50/686,552.66 = 282,664.95/x
  3. Step 3: Cross multiply
    497,488.50x = 686,552.66 × 282,664.95
  4. Step 4: Simplify right side
    497,488.50x = 194,064,371,897.94
  5. Step 5: Solve for x
    x = 194,064,371,897.94/497,488.50
  6. Step 6: Final answer
    x = 390,088.16

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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.