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Finding the Fourth Proportional to 285,320.40, 428,287.80 and 160,904.40

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Solution

The fourth proportional to 285,320.40, 428,287.80 and 160,904.40 is: 241,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,320.40 : 428,287.80 = 160,904.40 : x
  2. Step 2: Convert to fraction form
    285,320.40/428,287.80 = 160,904.40/x
  3. Step 3: Cross multiply
    285,320.40x = 428,287.80 × 160,904.40
  4. Step 4: Simplify right side
    285,320.40x = 68,913,391,486.32
  5. Step 5: Solve for x
    x = 68,913,391,486.32/285,320.40
  6. Step 6: Final answer
    x = 241,529.84

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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.