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Finding the Fourth Proportional to 458,543.08, 687,952.86 and 143,033.32

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Solution

The fourth proportional to 458,543.08, 687,952.86 and 143,033.32 is: 214,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,543.08 : 687,952.86 = 143,033.32 : x
  2. Step 2: Convert to fraction form
    458,543.08/687,952.86 = 143,033.32/x
  3. Step 3: Cross multiply
    458,543.08x = 687,952.86 × 143,033.32
  4. Step 4: Simplify right side
    458,543.08x = 98,400,181,569.30
  5. Step 5: Solve for x
    x = 98,400,181,569.30/458,543.08
  6. Step 6: Final answer
    x = 214,593.10

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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.