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Finding the Fourth Proportional to 458,859.24, 688,288.86 and 143,341.02

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Solution

The fourth proportional to 458,859.24, 688,288.86 and 143,341.02 is: 215,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,859.24 : 688,288.86 = 143,341.02 : x
  2. Step 2: Convert to fraction form
    458,859.24/688,288.86 = 143,341.02/x
  3. Step 3: Cross multiply
    458,859.24x = 688,288.86 × 143,341.02
  4. Step 4: Simplify right side
    458,859.24x = 98,660,027,247.04
  5. Step 5: Solve for x
    x = 98,660,027,247.04/458,859.24
  6. Step 6: Final answer
    x = 215,011.53

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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.