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Finding the Fourth Proportional to 285,564.80, 428,347.20 and 174,972.80

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Solution

The fourth proportional to 285,564.80, 428,347.20 and 174,972.80 is: 262,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,564.80 : 428,347.20 = 174,972.80 : x
  2. Step 2: Convert to fraction form
    285,564.80/428,347.20 = 174,972.80/x
  3. Step 3: Cross multiply
    285,564.80x = 428,347.20 × 174,972.80
  4. Step 4: Simplify right side
    285,564.80x = 74,949,108,956.16
  5. Step 5: Solve for x
    x = 74,949,108,956.16/285,564.80
  6. Step 6: Final answer
    x = 262,459.20

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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.