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Finding the Fourth Proportional to 286,257.60, 429,019.20 and 159,897.60

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Solution

The fourth proportional to 286,257.60, 429,019.20 and 159,897.60 is: 239,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,257.60 : 429,019.20 = 159,897.60 : x
  2. Step 2: Convert to fraction form
    286,257.60/429,019.20 = 159,897.60/x
  3. Step 3: Cross multiply
    286,257.60x = 429,019.20 × 159,897.60
  4. Step 4: Simplify right side
    286,257.60x = 68,599,140,433.92
  5. Step 5: Solve for x
    x = 68,599,140,433.92/286,257.60
  6. Step 6: Final answer
    x = 239,641.29

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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.