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Finding the Fourth Proportional to 408,529.12, 563,768.76 and 229,681.12

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Solution

The fourth proportional to 408,529.12, 563,768.76 and 229,681.12 is: 316,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,529.12 : 563,768.76 = 229,681.12 : x
  2. Step 2: Convert to fraction form
    408,529.12/563,768.76 = 229,681.12/x
  3. Step 3: Cross multiply
    408,529.12x = 563,768.76 × 229,681.12
  4. Step 4: Simplify right side
    408,529.12x = 129,487,040,217.81
  5. Step 5: Solve for x
    x = 129,487,040,217.81/408,529.12
  6. Step 6: Final answer
    x = 316,959.14

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1.5x scale

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.