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Finding the Fourth Proportional to 428,060.86, 590,730.40 and 234,486.40

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Solution

The fourth proportional to 428,060.86, 590,730.40 and 234,486.40 is: 323,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,060.86 : 590,730.40 = 234,486.40 : x
  2. Step 2: Convert to fraction form
    428,060.86/590,730.40 = 234,486.40/x
  3. Step 3: Cross multiply
    428,060.86x = 590,730.40 × 234,486.40
  4. Step 4: Simplify right side
    428,060.86x = 138,518,244,866.56
  5. Step 5: Solve for x
    x = 138,518,244,866.56/428,060.86
  6. Step 6: Final answer
    x = 323,594.75

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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.