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Finding the Fourth Proportional to 520,916.40, 780,499.80 and 254,102.40

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Solution

The fourth proportional to 520,916.40, 780,499.80 and 254,102.40 is: 380,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,916.40 : 780,499.80 = 254,102.40 : x
  2. Step 2: Convert to fraction form
    520,916.40/780,499.80 = 254,102.40/x
  3. Step 3: Cross multiply
    520,916.40x = 780,499.80 × 254,102.40
  4. Step 4: Simplify right side
    520,916.40x = 198,326,872,379.52
  5. Step 5: Solve for x
    x = 198,326,872,379.52/520,916.40
  6. Step 6: Final answer
    x = 380,726.87

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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.