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Finding the Fourth Proportional to 461,134.70, 691,702.05 and 425,705.30

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Solution

The fourth proportional to 461,134.70, 691,702.05 and 425,705.30 is: 638,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,134.70 : 691,702.05 = 425,705.30 : x
  2. Step 2: Convert to fraction form
    461,134.70/691,702.05 = 425,705.30/x
  3. Step 3: Cross multiply
    461,134.70x = 691,702.05 × 425,705.30
  4. Step 4: Simplify right side
    461,134.70x = 294,461,228,705.87
  5. Step 5: Solve for x
    x = 294,461,228,705.87/461,134.70
  6. Step 6: Final answer
    x = 638,557.95

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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.