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Finding the Fourth Proportional to 428,437.54, 642,431.67 and 147,888.10

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Solution

The fourth proportional to 428,437.54, 642,431.67 and 147,888.10 is: 221,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,437.54 : 642,431.67 = 147,888.10 : x
  2. Step 2: Convert to fraction form
    428,437.54/642,431.67 = 147,888.10/x
  3. Step 3: Cross multiply
    428,437.54x = 642,431.67 × 147,888.10
  4. Step 4: Simplify right side
    428,437.54x = 95,007,999,056.13
  5. Step 5: Solve for x
    x = 95,007,999,056.13/428,437.54
  6. Step 6: Final answer
    x = 221,754.61

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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.