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Finding the Fourth Proportional to 514,861.40, 772,292.10 and 425,631.80

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Solution

The fourth proportional to 514,861.40, 772,292.10 and 425,631.80 is: 638,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,861.40 : 772,292.10 = 425,631.80 : x
  2. Step 2: Convert to fraction form
    514,861.40/772,292.10 = 425,631.80/x
  3. Step 3: Cross multiply
    514,861.40x = 772,292.10 × 425,631.80
  4. Step 4: Simplify right side
    514,861.40x = 328,712,076,648.78
  5. Step 5: Solve for x
    x = 328,712,076,648.78/514,861.40
  6. Step 6: Final answer
    x = 638,447.70

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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.