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Finding the Fourth Proportional to 428,987.95, 590,866.95 and 319,742.20

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Solution

The fourth proportional to 428,987.95, 590,866.95 and 319,742.20 is: 440,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,987.95 : 590,866.95 = 319,742.20 : x
  2. Step 2: Convert to fraction form
    428,987.95/590,866.95 = 319,742.20/x
  3. Step 3: Cross multiply
    428,987.95x = 590,866.95 × 319,742.20
  4. Step 4: Simplify right side
    428,987.95x = 188,925,098,500.29
  5. Step 5: Solve for x
    x = 188,925,098,500.29/428,987.95
  6. Step 6: Final answer
    x = 440,397.22

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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.