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Finding the Fourth Proportional to 385,713.16, 578,607.80 and 132,960.35

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Solution

The fourth proportional to 385,713.16, 578,607.80 and 132,960.35 is: 199,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,713.16 : 578,607.80 = 132,960.35 : x
  2. Step 2: Convert to fraction form
    385,713.16/578,607.80 = 132,960.35/x
  3. Step 3: Cross multiply
    385,713.16x = 578,607.80 × 132,960.35
  4. Step 4: Simplify right side
    385,713.16x = 76,931,896,382.45
  5. Step 5: Solve for x
    x = 76,931,896,382.45/385,713.16
  6. Step 6: Final answer
    x = 199,453.65

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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.