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Finding the Fourth Proportional to 540,263.16, 810,429.30 and 207,839.16

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Solution

The fourth proportional to 540,263.16, 810,429.30 and 207,839.16 is: 311,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,263.16 : 810,429.30 = 207,839.16 : x
  2. Step 2: Convert to fraction form
    540,263.16/810,429.30 = 207,839.16/x
  3. Step 3: Cross multiply
    540,263.16x = 810,429.30 × 207,839.16
  4. Step 4: Simplify right side
    540,263.16x = 168,438,944,951.39
  5. Step 5: Solve for x
    x = 168,438,944,951.39/540,263.16
  6. Step 6: Final answer
    x = 311,772.04

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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.