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Finding the Fourth Proportional to 385,535.46, 578,285.72 and 101,219.31

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Solution

The fourth proportional to 385,535.46, 578,285.72 and 101,219.31 is: 151,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,535.46 : 578,285.72 = 101,219.31 : x
  2. Step 2: Convert to fraction form
    385,535.46/578,285.72 = 101,219.31/x
  3. Step 3: Cross multiply
    385,535.46x = 578,285.72 × 101,219.31
  4. Step 4: Simplify right side
    385,535.46x = 58,533,681,055.16
  5. Step 5: Solve for x
    x = 58,533,681,055.16/385,535.46
  6. Step 6: Final answer
    x = 151,824.38

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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.