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Finding the Fourth Proportional to 310,894.81, 466,342.21 and 86,255.28

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Solution

The fourth proportional to 310,894.81, 466,342.21 and 86,255.28 is: 129,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,894.81 : 466,342.21 = 86,255.28 : x
  2. Step 2: Convert to fraction form
    310,894.81/466,342.21 = 86,255.28/x
  3. Step 3: Cross multiply
    310,894.81x = 466,342.21 × 86,255.28
  4. Step 4: Simplify right side
    310,894.81x = 40,224,478,007.19
  5. Step 5: Solve for x
    x = 40,224,478,007.19/310,894.81
  6. Step 6: Final answer
    x = 129,382.92

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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.