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Finding the Fourth Proportional to 615,703.14, 849,662.25 and 343,775.66

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Solution

The fourth proportional to 615,703.14, 849,662.25 and 343,775.66 is: 474,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,703.14 : 849,662.25 = 343,775.66 : x
  2. Step 2: Convert to fraction form
    615,703.14/849,662.25 = 343,775.66/x
  3. Step 3: Cross multiply
    615,703.14x = 849,662.25 × 343,775.66
  4. Step 4: Simplify right side
    615,703.14x = 292,093,196,522.52
  5. Step 5: Solve for x
    x = 292,093,196,522.52/615,703.14
  6. Step 6: Final answer
    x = 474,405.89

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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.