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Finding the Fourth Proportional to 498,766, 688,297.08 and 272,412.04

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Solution

The fourth proportional to 498,766, 688,297.08 and 272,412.04 is: 375,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,766 : 688,297.08 = 272,412.04 : x
  2. Step 2: Convert to fraction form
    498,766/688,297.08 = 272,412.04/x
  3. Step 3: Cross multiply
    498,766x = 688,297.08 × 272,412.04
  4. Step 4: Simplify right side
    498,766x = 187,500,411,688.84
  5. Step 5: Solve for x
    x = 187,500,411,688.84/498,766
  6. Step 6: Final answer
    x = 375,928.62

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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.