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Finding the Fourth Proportional to 456,357.19, 684,390.20 and 156,765.53

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Solution

The fourth proportional to 456,357.19, 684,390.20 and 156,765.53 is: 235,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,357.19 : 684,390.20 = 156,765.53 : x
  2. Step 2: Convert to fraction form
    456,357.19/684,390.20 = 156,765.53/x
  3. Step 3: Cross multiply
    456,357.19x = 684,390.20 × 156,765.53
  4. Step 4: Simplify right side
    456,357.19x = 107,288,789,399.77
  5. Step 5: Solve for x
    x = 107,288,789,399.77/456,357.19
  6. Step 6: Final answer
    x = 235,098.28

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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.