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Finding the Fourth Proportional to 456,271.72, 684,454.05 and 156,713.47

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Solution

The fourth proportional to 456,271.72, 684,454.05 and 156,713.47 is: 235,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,271.72 : 684,454.05 = 156,713.47 : x
  2. Step 2: Convert to fraction form
    456,271.72/684,454.05 = 156,713.47/x
  3. Step 3: Cross multiply
    456,271.72x = 684,454.05 × 156,713.47
  4. Step 4: Simplify right side
    456,271.72x = 107,263,167,519.92
  5. Step 5: Solve for x
    x = 107,263,167,519.92/456,271.72
  6. Step 6: Final answer
    x = 235,086.16

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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.