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Finding the Fourth Proportional to 448,098.80, 672,148.20 and 315,129.20

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Solution

The fourth proportional to 448,098.80, 672,148.20 and 315,129.20 is: 472,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,098.80 : 672,148.20 = 315,129.20 : x
  2. Step 2: Convert to fraction form
    448,098.80/672,148.20 = 315,129.20/x
  3. Step 3: Cross multiply
    448,098.80x = 672,148.20 × 315,129.20
  4. Step 4: Simplify right side
    448,098.80x = 211,813,524,547.44
  5. Step 5: Solve for x
    x = 211,813,524,547.44/448,098.80
  6. Step 6: Final answer
    x = 472,693.80

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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.