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Finding the Fourth Proportional to 385,349.80, 578,047.50 and 148,693.72

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Solution

The fourth proportional to 385,349.80, 578,047.50 and 148,693.72 is: 223,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,349.80 : 578,047.50 = 148,693.72 : x
  2. Step 2: Convert to fraction form
    385,349.80/578,047.50 = 148,693.72/x
  3. Step 3: Cross multiply
    385,349.80x = 578,047.50 × 148,693.72
  4. Step 4: Simplify right side
    385,349.80x = 85,952,033,111.70
  5. Step 5: Solve for x
    x = 85,952,033,111.70/385,349.80
  6. Step 6: Final answer
    x = 223,049.38

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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.