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Finding the Fourth Proportional to 498,659.60, 747,970.20 and 166,235.60

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Solution

The fourth proportional to 498,659.60, 747,970.20 and 166,235.60 is: 249,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,659.60 : 747,970.20 = 166,235.60 : x
  2. Step 2: Convert to fraction form
    498,659.60/747,970.20 = 166,235.60/x
  3. Step 3: Cross multiply
    498,659.60x = 747,970.20 × 166,235.60
  4. Step 4: Simplify right side
    498,659.60x = 124,339,274,979.12
  5. Step 5: Solve for x
    x = 124,339,274,979.12/498,659.60
  6. Step 6: Final answer
    x = 249,347.00

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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.