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Finding the Fourth Proportional to 425,977.76, 638,726.80 and 141,516

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Solution

The fourth proportional to 425,977.76, 638,726.80 and 141,516 is: 212,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,977.76 : 638,726.80 = 141,516 : x
  2. Step 2: Convert to fraction form
    425,977.76/638,726.80 = 141,516/x
  3. Step 3: Cross multiply
    425,977.76x = 638,726.80 × 141,516
  4. Step 4: Simplify right side
    425,977.76x = 90,390,061,828.80
  5. Step 5: Solve for x
    x = 90,390,061,828.80/425,977.76
  6. Step 6: Final answer
    x = 212,194.32

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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.