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Finding the Fourth Proportional to 458,752.56, 688,128.83 and 143,236.50

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Solution

The fourth proportional to 458,752.56, 688,128.83 and 143,236.50 is: 214,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,752.56 : 688,128.83 = 143,236.50 : x
  2. Step 2: Convert to fraction form
    458,752.56/688,128.83 = 143,236.50/x
  3. Step 3: Cross multiply
    458,752.56x = 688,128.83 × 143,236.50
  4. Step 4: Simplify right side
    458,752.56x = 98,565,164,442.11
  5. Step 5: Solve for x
    x = 98,565,164,442.11/458,752.56
  6. Step 6: Final answer
    x = 214,854.75

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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.