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Finding the Fourth Proportional to 421,101.60, 581,119.02 and 230,116.20

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Solution

The fourth proportional to 421,101.60, 581,119.02 and 230,116.20 is: 317,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,101.60 : 581,119.02 = 230,116.20 : x
  2. Step 2: Convert to fraction form
    421,101.60/581,119.02 = 230,116.20/x
  3. Step 3: Cross multiply
    421,101.60x = 581,119.02 × 230,116.20
  4. Step 4: Simplify right side
    421,101.60x = 133,724,900,630.12
  5. Step 5: Solve for x
    x = 133,724,900,630.12/421,101.60
  6. Step 6: Final answer
    x = 317,559.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.