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Finding the Fourth Proportional to 310,911.83, 466,315.58 and 86,295.09

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Solution

The fourth proportional to 310,911.83, 466,315.58 and 86,295.09 is: 129,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,911.83 : 466,315.58 = 86,295.09 : x
  2. Step 2: Convert to fraction form
    310,911.83/466,315.58 = 86,295.09/x
  3. Step 3: Cross multiply
    310,911.83x = 466,315.58 × 86,295.09
  4. Step 4: Simplify right side
    310,911.83x = 40,240,744,285.90
  5. Step 5: Solve for x
    x = 40,240,744,285.90/310,911.83
  6. Step 6: Final answer
    x = 129,428.15

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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.