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Finding the Fourth Proportional to 253,007.16, 378,723.42 and 159,316.08

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Solution

The fourth proportional to 253,007.16, 378,723.42 and 159,316.08 is: 238,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,007.16 : 378,723.42 = 159,316.08 : x
  2. Step 2: Convert to fraction form
    253,007.16/378,723.42 = 159,316.08/x
  3. Step 3: Cross multiply
    253,007.16x = 378,723.42 × 159,316.08
  4. Step 4: Simplify right side
    253,007.16x = 60,336,730,678.59
  5. Step 5: Solve for x
    x = 60,336,730,678.59/253,007.16
  6. Step 6: Final answer
    x = 238,478.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.