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Finding the Fourth Proportional to 428,053.86, 590,707.08 and 237,063.15

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Solution

The fourth proportional to 428,053.86, 590,707.08 and 237,063.15 is: 327,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,053.86 : 590,707.08 = 237,063.15 : x
  2. Step 2: Convert to fraction form
    428,053.86/590,707.08 = 237,063.15/x
  3. Step 3: Cross multiply
    428,053.86x = 590,707.08 × 237,063.15
  4. Step 4: Simplify right side
    428,053.86x = 140,034,881,112.10
  5. Step 5: Solve for x
    x = 140,034,881,112.10/428,053.86
  6. Step 6: Final answer
    x = 327,143.13

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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.