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Finding the Fourth Proportional to 506,773.20, 759,722.40 and 257,455.20

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Solution

The fourth proportional to 506,773.20, 759,722.40 and 257,455.20 is: 385,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,773.20 : 759,722.40 = 257,455.20 : x
  2. Step 2: Convert to fraction form
    506,773.20/759,722.40 = 257,455.20/x
  3. Step 3: Cross multiply
    506,773.20x = 759,722.40 × 257,455.20
  4. Step 4: Simplify right side
    506,773.20x = 195,594,482,436.48
  5. Step 5: Solve for x
    x = 195,594,482,436.48/506,773.20
  6. Step 6: Final answer
    x = 385,960.59

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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.