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Finding the Fourth Proportional to 458,978.40, 688,467.60 and 143,467.20

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Solution

The fourth proportional to 458,978.40, 688,467.60 and 143,467.20 is: 215,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,978.40 : 688,467.60 = 143,467.20 : x
  2. Step 2: Convert to fraction form
    458,978.40/688,467.60 = 143,467.20/x
  3. Step 3: Cross multiply
    458,978.40x = 688,467.60 × 143,467.20
  4. Step 4: Simplify right side
    458,978.40x = 98,772,518,862.72
  5. Step 5: Solve for x
    x = 98,772,518,862.72/458,978.40
  6. Step 6: Final answer
    x = 215,200.80

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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.