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Finding the Fourth Proportional to 287,342.40, 431,161.28 and 127,527.84

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Solution

The fourth proportional to 287,342.40, 431,161.28 and 127,527.84 is: 191,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,342.40 : 431,161.28 = 127,527.84 : x
  2. Step 2: Convert to fraction form
    287,342.40/431,161.28 = 127,527.84/x
  3. Step 3: Cross multiply
    287,342.40x = 431,161.28 × 127,527.84
  4. Step 4: Simplify right side
    287,342.40x = 54,985,066,730.04
  5. Step 5: Solve for x
    x = 54,985,066,730.04/287,342.40
  6. Step 6: Final answer
    x = 191,357.30

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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.