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Finding the Fourth Proportional to 822,830.40, 1,234,003.68 and 349,512

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Solution

The fourth proportional to 822,830.40, 1,234,003.68 and 349,512 is: 524,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,830.40 : 1,234,003.68 = 349,512 : x
  2. Step 2: Convert to fraction form
    822,830.40/1,234,003.68 = 349,512/x
  3. Step 3: Cross multiply
    822,830.40x = 1,234,003.68 × 349,512
  4. Step 4: Simplify right side
    822,830.40x = 431,299,094,204.16
  5. Step 5: Solve for x
    x = 431,299,094,204.16/822,830.40
  6. Step 6: Final answer
    x = 524,165.24

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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.