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Finding the Fourth Proportional to 493,259.60, 740,083.80 and 193,689.20

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Solution

The fourth proportional to 493,259.60, 740,083.80 and 193,689.20 is: 290,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,259.60 : 740,083.80 = 193,689.20 : x
  2. Step 2: Convert to fraction form
    493,259.60/740,083.80 = 193,689.20/x
  3. Step 3: Cross multiply
    493,259.60x = 740,083.80 × 193,689.20
  4. Step 4: Simplify right side
    493,259.60x = 143,346,239,154.96
  5. Step 5: Solve for x
    x = 143,346,239,154.96/493,259.60
  6. Step 6: Final answer
    x = 290,610.14

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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.