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Finding the Fourth Proportional to 458,533.60, 687,897.60 and 138,659.20

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Solution

The fourth proportional to 458,533.60, 687,897.60 and 138,659.20 is: 208,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,533.60 : 687,897.60 = 138,659.20 : x
  2. Step 2: Convert to fraction form
    458,533.60/687,897.60 = 138,659.20/x
  3. Step 3: Cross multiply
    458,533.60x = 687,897.60 × 138,659.20
  4. Step 4: Simplify right side
    458,533.60x = 95,383,330,897.92
  5. Step 5: Solve for x
    x = 95,383,330,897.92/458,533.60
  6. Step 6: Final answer
    x = 208,018.19

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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.