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Finding the Fourth Proportional to 458,980.95, 688,471.30 and 143,437.85

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Solution

The fourth proportional to 458,980.95, 688,471.30 and 143,437.85 is: 215,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,980.95 : 688,471.30 = 143,437.85 : x
  2. Step 2: Convert to fraction form
    458,980.95/688,471.30 = 143,437.85/x
  3. Step 3: Cross multiply
    458,980.95x = 688,471.30 × 143,437.85
  4. Step 4: Simplify right side
    458,980.95x = 98,752,845,443.23
  5. Step 5: Solve for x
    x = 98,752,845,443.23/458,980.95
  6. Step 6: Final answer
    x = 215,156.74

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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.