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Finding the Fourth Proportional to 310,308.78, 465,428.31 and 85,701.16

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Solution

The fourth proportional to 310,308.78, 465,428.31 and 85,701.16 is: 128,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,308.78 : 465,428.31 = 85,701.16 : x
  2. Step 2: Convert to fraction form
    310,308.78/465,428.31 = 85,701.16/x
  3. Step 3: Cross multiply
    310,308.78x = 465,428.31 × 85,701.16
  4. Step 4: Simplify right side
    310,308.78x = 39,887,746,063.84
  5. Step 5: Solve for x
    x = 39,887,746,063.84/310,308.78
  6. Step 6: Final answer
    x = 128,542.11

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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.