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Finding the Fourth Proportional to 456,357.12, 684,360.36 and 156,781.68

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Solution

The fourth proportional to 456,357.12, 684,360.36 and 156,781.68 is: 235,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,357.12 : 684,360.36 = 156,781.68 : x
  2. Step 2: Convert to fraction form
    456,357.12/684,360.36 = 156,781.68/x
  3. Step 3: Cross multiply
    456,357.12x = 684,360.36 × 156,781.68
  4. Step 4: Simplify right side
    456,357.12x = 107,295,166,966.21
  5. Step 5: Solve for x
    x = 107,295,166,966.21/456,357.12
  6. Step 6: Final answer
    x = 235,112.29

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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.