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Finding the Fourth Proportional to 456,462.80, 684,123.96 and 315,095.12

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Solution

The fourth proportional to 456,462.80, 684,123.96 and 315,095.12 is: 472,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,462.80 : 684,123.96 = 315,095.12 : x
  2. Step 2: Convert to fraction form
    456,462.80/684,123.96 = 315,095.12/x
  3. Step 3: Cross multiply
    456,462.80x = 684,123.96 × 315,095.12
  4. Step 4: Simplify right side
    456,462.80x = 215,564,121,271.08
  5. Step 5: Solve for x
    x = 215,564,121,271.08/456,462.80
  6. Step 6: Final answer
    x = 472,249.04

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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.