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Finding the Fourth Proportional to 497,706.67, 686,894.52 and 314,211.88

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Solution

The fourth proportional to 497,706.67, 686,894.52 and 314,211.88 is: 433,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,706.67 : 686,894.52 = 314,211.88 : x
  2. Step 2: Convert to fraction form
    497,706.67/686,894.52 = 314,211.88/x
  3. Step 3: Cross multiply
    497,706.67x = 686,894.52 × 314,211.88
  4. Step 4: Simplify right side
    497,706.67x = 215,830,418,490.90
  5. Step 5: Solve for x
    x = 215,830,418,490.90/497,706.67
  6. Step 6: Final answer
    x = 433,649.84

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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.