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Finding the Fourth Proportional to 420,681.59, 580,818.24 and 259,773.06

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Solution

The fourth proportional to 420,681.59, 580,818.24 and 259,773.06 is: 358,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,681.59 : 580,818.24 = 259,773.06 : x
  2. Step 2: Convert to fraction form
    420,681.59/580,818.24 = 259,773.06/x
  3. Step 3: Cross multiply
    420,681.59x = 580,818.24 × 259,773.06
  4. Step 4: Simplify right side
    420,681.59x = 150,880,931,508.61
  5. Step 5: Solve for x
    x = 150,880,931,508.61/420,681.59
  6. Step 6: Final answer
    x = 358,658.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.