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Finding the Fourth Proportional to 260,497, 390,741.24 and 83,001.60

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Solution

The fourth proportional to 260,497, 390,741.24 and 83,001.60 is: 124,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,497 : 390,741.24 = 83,001.60 : x
  2. Step 2: Convert to fraction form
    260,497/390,741.24 = 83,001.60/x
  3. Step 3: Cross multiply
    260,497x = 390,741.24 × 83,001.60
  4. Step 4: Simplify right side
    260,497x = 32,432,148,105.98
  5. Step 5: Solve for x
    x = 32,432,148,105.98/260,497
  6. Step 6: Final answer
    x = 124,501.04

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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.