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Finding the Fourth Proportional to 478,405.07, 717,737.15 and 178,916.07

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Solution

The fourth proportional to 478,405.07, 717,737.15 and 178,916.07 is: 268,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,405.07 : 717,737.15 = 178,916.07 : x
  2. Step 2: Convert to fraction form
    478,405.07/717,737.15 = 178,916.07/x
  3. Step 3: Cross multiply
    478,405.07x = 717,737.15 × 178,916.07
  4. Step 4: Simplify right side
    478,405.07x = 128,414,713,309.81
  5. Step 5: Solve for x
    x = 128,414,713,309.81/478,405.07
  6. Step 6: Final answer
    x = 268,422.56

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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.