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Finding the Fourth Proportional to 498,701.88, 688,219.74 and 297,459

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Solution

The fourth proportional to 498,701.88, 688,219.74 and 297,459 is: 410,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,701.88 : 688,219.74 = 297,459 : x
  2. Step 2: Convert to fraction form
    498,701.88/688,219.74 = 297,459/x
  3. Step 3: Cross multiply
    498,701.88x = 688,219.74 × 297,459
  4. Step 4: Simplify right side
    498,701.88x = 204,717,155,640.66
  5. Step 5: Solve for x
    x = 204,717,155,640.66/498,701.88
  6. Step 6: Final answer
    x = 410,500.07

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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.