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Finding the Fourth Proportional to 688,096, 949,572.48 and 386,290

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Solution

The fourth proportional to 688,096, 949,572.48 and 386,290 is: 533,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,096 : 949,572.48 = 386,290 : x
  2. Step 2: Convert to fraction form
    688,096/949,572.48 = 386,290/x
  3. Step 3: Cross multiply
    688,096x = 949,572.48 × 386,290
  4. Step 4: Simplify right side
    688,096x = 366,810,353,299.20
  5. Step 5: Solve for x
    x = 366,810,353,299.20/688,096
  6. Step 6: Final answer
    x = 533,080.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.