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Finding the Fourth Proportional to 292,284.20, 438,207.60 and 159,314.60

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Solution

The fourth proportional to 292,284.20, 438,207.60 and 159,314.60 is: 238,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284.20 : 438,207.60 = 159,314.60 : x
  2. Step 2: Convert to fraction form
    292,284.20/438,207.60 = 159,314.60/x
  3. Step 3: Cross multiply
    292,284.20x = 438,207.60 × 159,314.60
  4. Step 4: Simplify right side
    292,284.20x = 69,812,868,510.96
  5. Step 5: Solve for x
    x = 69,812,868,510.96/292,284.20
  6. Step 6: Final answer
    x = 238,852.69

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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.