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Finding the Fourth Proportional to 558,158.80, 770,243.16 and 316,464.52

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Solution

The fourth proportional to 558,158.80, 770,243.16 and 316,464.52 is: 436,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,158.80 : 770,243.16 = 316,464.52 : x
  2. Step 2: Convert to fraction form
    558,158.80/770,243.16 = 316,464.52/x
  3. Step 3: Cross multiply
    558,158.80x = 770,243.16 × 316,464.52
  4. Step 4: Simplify right side
    558,158.80x = 243,754,631,912.68
  5. Step 5: Solve for x
    x = 243,754,631,912.68/558,158.80
  6. Step 6: Final answer
    x = 436,711.98

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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.