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Finding the Fourth Proportional to 493,659.68, 740,373.96 and 138,707.60

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Solution

The fourth proportional to 493,659.68, 740,373.96 and 138,707.60 is: 208,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,659.68 : 740,373.96 = 138,707.60 : x
  2. Step 2: Convert to fraction form
    493,659.68/740,373.96 = 138,707.60/x
  3. Step 3: Cross multiply
    493,659.68x = 740,373.96 × 138,707.60
  4. Step 4: Simplify right side
    493,659.68x = 102,695,495,094.10
  5. Step 5: Solve for x
    x = 102,695,495,094.10/493,659.68
  6. Step 6: Final answer
    x = 208,028.93

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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.