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Finding the Fourth Proportional to 498,506.90, 687,913.65 and 283,642.58

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Solution

The fourth proportional to 498,506.90, 687,913.65 and 283,642.58 is: 391,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,506.90 : 687,913.65 = 283,642.58 : x
  2. Step 2: Convert to fraction form
    498,506.90/687,913.65 = 283,642.58/x
  3. Step 3: Cross multiply
    498,506.90x = 687,913.65 × 283,642.58
  4. Step 4: Simplify right side
    498,506.90x = 195,121,602,503.22
  5. Step 5: Solve for x
    x = 195,121,602,503.22/498,506.90
  6. Step 6: Final answer
    x = 391,412.04

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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.