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Finding the Fourth Proportional to 313,710.45, 432,920.10 and 170,470.16

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Solution

The fourth proportional to 313,710.45, 432,920.10 and 170,470.16 is: 235,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,710.45 : 432,920.10 = 170,470.16 : x
  2. Step 2: Convert to fraction form
    313,710.45/432,920.10 = 170,470.16/x
  3. Step 3: Cross multiply
    313,710.45x = 432,920.10 × 170,470.16
  4. Step 4: Simplify right side
    313,710.45x = 73,799,956,229.98
  5. Step 5: Solve for x
    x = 73,799,956,229.98/313,710.45
  6. Step 6: Final answer
    x = 235,248.64

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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.