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Finding the Fourth Proportional to 285,972, 428,987.16 and 98,982.96

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Solution

The fourth proportional to 285,972, 428,987.16 and 98,982.96 is: 148,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,972 : 428,987.16 = 98,982.96 : x
  2. Step 2: Convert to fraction form
    285,972/428,987.16 = 98,982.96/x
  3. Step 3: Cross multiply
    285,972x = 428,987.16 × 98,982.96
  4. Step 4: Simplify right side
    285,972x = 42,462,418,898.79
  5. Step 5: Solve for x
    x = 42,462,418,898.79/285,972
  6. Step 6: Final answer
    x = 148,484.53

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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.