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Finding the Fourth Proportional to 318,948.68, 478,256.91 and 150,423.75

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Solution

The fourth proportional to 318,948.68, 478,256.91 and 150,423.75 is: 225,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,948.68 : 478,256.91 = 150,423.75 : x
  2. Step 2: Convert to fraction form
    318,948.68/478,256.91 = 150,423.75/x
  3. Step 3: Cross multiply
    318,948.68x = 478,256.91 × 150,423.75
  4. Step 4: Simplify right side
    318,948.68x = 71,941,199,953.77
  5. Step 5: Solve for x
    x = 71,941,199,953.77/318,948.68
  6. Step 6: Final answer
    x = 225,557.29

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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.