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Finding the Fourth Proportional to 309,211.70, 463,817.55 and 98,870.90

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Solution

The fourth proportional to 309,211.70, 463,817.55 and 98,870.90 is: 148,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,211.70 : 463,817.55 = 98,870.90 : x
  2. Step 2: Convert to fraction form
    309,211.70/463,817.55 = 98,870.90/x
  3. Step 3: Cross multiply
    309,211.70x = 463,817.55 × 98,870.90
  4. Step 4: Simplify right side
    309,211.70x = 45,858,058,604.30
  5. Step 5: Solve for x
    x = 45,858,058,604.30/309,211.70
  6. Step 6: Final answer
    x = 148,306.35

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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.