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Finding the Fourth Proportional to 615,830.50, 849,797.10 and 343,882.17

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Solution

The fourth proportional to 615,830.50, 849,797.10 and 343,882.17 is: 474,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,830.50 : 849,797.10 = 343,882.17 : x
  2. Step 2: Convert to fraction form
    615,830.50/849,797.10 = 343,882.17/x
  3. Step 3: Cross multiply
    615,830.50x = 849,797.10 × 343,882.17
  4. Step 4: Simplify right side
    615,830.50x = 292,230,070,807.71
  5. Step 5: Solve for x
    x = 292,230,070,807.71/615,830.50
  6. Step 6: Final answer
    x = 474,530.04

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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.