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Finding the Fourth Proportional to 498,578, 688,041 and 272,226.32

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Solution

The fourth proportional to 498,578, 688,041 and 272,226.32 is: 375,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,578 : 688,041 = 272,226.32 : x
  2. Step 2: Convert to fraction form
    498,578/688,041 = 272,226.32/x
  3. Step 3: Cross multiply
    498,578x = 688,041 × 272,226.32
  4. Step 4: Simplify right side
    498,578x = 187,302,869,439.12
  5. Step 5: Solve for x
    x = 187,302,869,439.12/498,578
  6. Step 6: Final answer
    x = 375,674.16

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1.5x scale

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.