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Finding the Fourth Proportional to 457,564.48, 686,112.68 and 191,252.32

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Solution

The fourth proportional to 457,564.48, 686,112.68 and 191,252.32 is: 286,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,564.48 : 686,112.68 = 191,252.32 : x
  2. Step 2: Convert to fraction form
    457,564.48/686,112.68 = 191,252.32/x
  3. Step 3: Cross multiply
    457,564.48x = 686,112.68 × 191,252.32
  4. Step 4: Simplify right side
    457,564.48x = 131,220,641,831.42
  5. Step 5: Solve for x
    x = 131,220,641,831.42/457,564.48
  6. Step 6: Final answer
    x = 286,780.66

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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.