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Finding the Fourth Proportional to 498,632.72, 688,022.52 and 294,717.92

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Solution

The fourth proportional to 498,632.72, 688,022.52 and 294,717.92 is: 406,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,632.72 : 688,022.52 = 294,717.92 : x
  2. Step 2: Convert to fraction form
    498,632.72/688,022.52 = 294,717.92/x
  3. Step 3: Cross multiply
    498,632.72x = 688,022.52 × 294,717.92
  4. Step 4: Simplify right side
    498,632.72x = 202,772,566,007.56
  5. Step 5: Solve for x
    x = 202,772,566,007.56/498,632.72
  6. Step 6: Final answer
    x = 406,657.16

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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.