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Finding the Fourth Proportional to 310,917.40, 466,376.10 and 86,277.40

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Solution

The fourth proportional to 310,917.40, 466,376.10 and 86,277.40 is: 129,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,917.40 : 466,376.10 = 86,277.40 : x
  2. Step 2: Convert to fraction form
    310,917.40/466,376.10 = 86,277.40/x
  3. Step 3: Cross multiply
    310,917.40x = 466,376.10 × 86,277.40
  4. Step 4: Simplify right side
    310,917.40x = 40,237,717,330.14
  5. Step 5: Solve for x
    x = 40,237,717,330.14/310,917.40
  6. Step 6: Final answer
    x = 129,416.10

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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.