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Finding the Fourth Proportional to 285,703.71, 428,639.31 and 127,897.08

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Solution

The fourth proportional to 285,703.71, 428,639.31 and 127,897.08 is: 191,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,703.71 : 428,639.31 = 127,897.08 : x
  2. Step 2: Convert to fraction form
    285,703.71/428,639.31 = 127,897.08/x
  3. Step 3: Cross multiply
    285,703.71x = 428,639.31 × 127,897.08
  4. Step 4: Simplify right side
    285,703.71x = 54,821,716,122.21
  5. Step 5: Solve for x
    x = 54,821,716,122.21/285,703.71
  6. Step 6: Final answer
    x = 191,883.11

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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.