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Finding the Fourth Proportional to 458,679.13, 688,158.11 and 143,138.77

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Solution

The fourth proportional to 458,679.13, 688,158.11 and 143,138.77 is: 214,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,679.13 : 688,158.11 = 143,138.77 : x
  2. Step 2: Convert to fraction form
    458,679.13/688,158.11 = 143,138.77/x
  3. Step 3: Cross multiply
    458,679.13x = 688,158.11 × 143,138.77
  4. Step 4: Simplify right side
    458,679.13x = 98,502,104,068.38
  5. Step 5: Solve for x
    x = 98,502,104,068.38/458,679.13
  6. Step 6: Final answer
    x = 214,751.66

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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.