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Finding the Fourth Proportional to 426,123.99, 638,577 and 312,916.23

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Solution

The fourth proportional to 426,123.99, 638,577 and 312,916.23 is: 468,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,123.99 : 638,577 = 312,916.23 : x
  2. Step 2: Convert to fraction form
    426,123.99/638,577 = 312,916.23/x
  3. Step 3: Cross multiply
    426,123.99x = 638,577 × 312,916.23
  4. Step 4: Simplify right side
    426,123.99x = 199,821,107,404.71
  5. Step 5: Solve for x
    x = 199,821,107,404.71/426,123.99
  6. Step 6: Final answer
    x = 468,927.15

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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.