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Finding the Fourth Proportional to 612,148.50, 918,224.88 and 185,688

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Solution

The fourth proportional to 612,148.50, 918,224.88 and 185,688 is: 278,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,148.50 : 918,224.88 = 185,688 : x
  2. Step 2: Convert to fraction form
    612,148.50/918,224.88 = 185,688/x
  3. Step 3: Cross multiply
    612,148.50x = 918,224.88 × 185,688
  4. Step 4: Simplify right side
    612,148.50x = 170,503,341,517.44
  5. Step 5: Solve for x
    x = 170,503,341,517.44/612,148.50
  6. Step 6: Final answer
    x = 278,532.65

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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.