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Finding the Fourth Proportional to 424,715.83, 637,184 and 158,478.34

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Solution

The fourth proportional to 424,715.83, 637,184 and 158,478.34 is: 237,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,715.83 : 637,184 = 158,478.34 : x
  2. Step 2: Convert to fraction form
    424,715.83/637,184 = 158,478.34/x
  3. Step 3: Cross multiply
    424,715.83x = 637,184 × 158,478.34
  4. Step 4: Simplify right side
    424,715.83x = 100,979,862,594.56
  5. Step 5: Solve for x
    x = 100,979,862,594.56/424,715.83
  6. Step 6: Final answer
    x = 237,758.65

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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.