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Finding the Fourth Proportional to 313,416, 432,514.08 and 179,280

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Solution

The fourth proportional to 313,416, 432,514.08 and 179,280 is: 247,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,416 : 432,514.08 = 179,280 : x
  2. Step 2: Convert to fraction form
    313,416/432,514.08 = 179,280/x
  3. Step 3: Cross multiply
    313,416x = 432,514.08 × 179,280
  4. Step 4: Simplify right side
    313,416x = 77,541,124,262.40
  5. Step 5: Solve for x
    x = 77,541,124,262.40/313,416
  6. Step 6: Final answer
    x = 247,406.40

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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.