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Finding the Fourth Proportional to 310,206.15, 465,341.59 and 85,566.62

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Solution

The fourth proportional to 310,206.15, 465,341.59 and 85,566.62 is: 128,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,206.15 : 465,341.59 = 85,566.62 : x
  2. Step 2: Convert to fraction form
    310,206.15/465,341.59 = 85,566.62/x
  3. Step 3: Cross multiply
    310,206.15x = 465,341.59 × 85,566.62
  4. Step 4: Simplify right side
    310,206.15x = 39,817,707,001.73
  5. Step 5: Solve for x
    x = 39,817,707,001.73/310,206.15
  6. Step 6: Final answer
    x = 128,358.86

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1.5x scale

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.