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Finding the Fourth Proportional to 458,672.70, 688,009.05 and 143,088.60

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Solution

The fourth proportional to 458,672.70, 688,009.05 and 143,088.60 is: 214,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,672.70 : 688,009.05 = 143,088.60 : x
  2. Step 2: Convert to fraction form
    458,672.70/688,009.05 = 143,088.60/x
  3. Step 3: Cross multiply
    458,672.70x = 688,009.05 × 143,088.60
  4. Step 4: Simplify right side
    458,672.70x = 98,446,251,751.83
  5. Step 5: Solve for x
    x = 98,446,251,751.83/458,672.70
  6. Step 6: Final answer
    x = 214,632.90

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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.