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Finding the Fourth Proportional to 452,444.78, 678,750.57 and 148,856.00

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Solution

The fourth proportional to 452,444.78, 678,750.57 and 148,856.00 is: 223,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,444.78 : 678,750.57 = 148,856.00 : x
  2. Step 2: Convert to fraction form
    452,444.78/678,750.57 = 148,856.00/x
  3. Step 3: Cross multiply
    452,444.78x = 678,750.57 × 148,856.00
  4. Step 4: Simplify right side
    452,444.78x = 101,036,091,454.17
  5. Step 5: Solve for x
    x = 101,036,091,454.17/452,444.78
  6. Step 6: Final answer
    x = 223,311.43

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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.