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Finding the Fourth Proportional to 309,211.76, 463,811.06 and 84,572.20

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Solution

The fourth proportional to 309,211.76, 463,811.06 and 84,572.20 is: 126,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,211.76 : 463,811.06 = 84,572.20 : x
  2. Step 2: Convert to fraction form
    309,211.76/463,811.06 = 84,572.20/x
  3. Step 3: Cross multiply
    309,211.76x = 463,811.06 × 84,572.20
  4. Step 4: Simplify right side
    309,211.76x = 39,225,521,728.53
  5. Step 5: Solve for x
    x = 39,225,521,728.53/309,211.76
  6. Step 6: Final answer
    x = 126,856.50

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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.