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Finding the Fourth Proportional to 456,813.12, 630,386.10 and 252,864.48

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Solution

The fourth proportional to 456,813.12, 630,386.10 and 252,864.48 is: 348,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,813.12 : 630,386.10 = 252,864.48 : x
  2. Step 2: Convert to fraction form
    456,813.12/630,386.10 = 252,864.48/x
  3. Step 3: Cross multiply
    456,813.12x = 630,386.10 × 252,864.48
  4. Step 4: Simplify right side
    456,813.12x = 159,402,253,375.73
  5. Step 5: Solve for x
    x = 159,402,253,375.73/456,813.12
  6. Step 6: Final answer
    x = 348,944.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.