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Finding the Fourth Proportional to 268,565.40, 402,387.30 and 128,021.40

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Solution

The fourth proportional to 268,565.40, 402,387.30 and 128,021.40 is: 191,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,565.40 : 402,387.30 = 128,021.40 : x
  2. Step 2: Convert to fraction form
    268,565.40/402,387.30 = 128,021.40/x
  3. Step 3: Cross multiply
    268,565.40x = 402,387.30 × 128,021.40
  4. Step 4: Simplify right side
    268,565.40x = 51,514,185,488.22
  5. Step 5: Solve for x
    x = 51,514,185,488.22/268,565.40
  6. Step 6: Final answer
    x = 191,812.44

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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.