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Finding the Fourth Proportional to 497,705.67, 686,893.14 and 314,210.88

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Solution

The fourth proportional to 497,705.67, 686,893.14 and 314,210.88 is: 433,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,705.67 : 686,893.14 = 314,210.88 : x
  2. Step 2: Convert to fraction form
    497,705.67/686,893.14 = 314,210.88/x
  3. Step 3: Cross multiply
    497,705.67x = 686,893.14 × 314,210.88
  4. Step 4: Simplify right side
    497,705.67x = 215,829,297,985.36
  5. Step 5: Solve for x
    x = 215,829,297,985.36/497,705.67
  6. Step 6: Final answer
    x = 433,648.46

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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.