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Finding the Fourth Proportional to 615,702.95, 849,662.01 and 343,775.46

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Solution

The fourth proportional to 615,702.95, 849,662.01 and 343,775.46 is: 474,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,702.95 : 849,662.01 = 343,775.46 : x
  2. Step 2: Convert to fraction form
    615,702.95/849,662.01 = 343,775.46/x
  3. Step 3: Cross multiply
    615,702.95x = 849,662.01 × 343,775.46
  4. Step 4: Simplify right side
    615,702.95x = 292,092,948,332.28
  5. Step 5: Solve for x
    x = 292,092,948,332.28/615,702.95
  6. Step 6: Final answer
    x = 474,405.63

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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.