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Finding the Fourth Proportional to 615,532.86, 849,478.05 and 343,654.20

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Solution

The fourth proportional to 615,532.86, 849,478.05 and 343,654.20 is: 474,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,532.86 : 849,478.05 = 343,654.20 : x
  2. Step 2: Convert to fraction form
    615,532.86/849,478.05 = 343,654.20/x
  3. Step 3: Cross multiply
    615,532.86x = 849,478.05 × 343,654.20
  4. Step 4: Simplify right side
    615,532.86x = 291,926,699,690.31
  5. Step 5: Solve for x
    x = 291,926,699,690.31/615,532.86
  6. Step 6: Final answer
    x = 474,266.64

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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.