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Finding the Fourth Proportional to 456,077.80, 684,191.58 and 140,534.76

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Solution

The fourth proportional to 456,077.80, 684,191.58 and 140,534.76 is: 210,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,077.80 : 684,191.58 = 140,534.76 : x
  2. Step 2: Convert to fraction form
    456,077.80/684,191.58 = 140,534.76/x
  3. Step 3: Cross multiply
    456,077.80x = 684,191.58 × 140,534.76
  4. Step 4: Simplify right side
    456,077.80x = 96,152,699,489.32
  5. Step 5: Solve for x
    x = 96,152,699,489.32/456,077.80
  6. Step 6: Final answer
    x = 210,825.21

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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.