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Finding the Fourth Proportional to 688,180, 949,688.40 and 386,374

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Solution

The fourth proportional to 688,180, 949,688.40 and 386,374 is: 533,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,180 : 949,688.40 = 386,374 : x
  2. Step 2: Convert to fraction form
    688,180/949,688.40 = 386,374/x
  3. Step 3: Cross multiply
    688,180x = 949,688.40 × 386,374
  4. Step 4: Simplify right side
    688,180x = 366,934,905,861.60
  5. Step 5: Solve for x
    x = 366,934,905,861.60/688,180
  6. Step 6: Final answer
    x = 533,196.12

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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.