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Finding the Fourth Proportional to 753,089, 1,039,270.12 and 413,564.54

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Solution

The fourth proportional to 753,089, 1,039,270.12 and 413,564.54 is: 570,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,089 : 1,039,270.12 = 413,564.54 : x
  2. Step 2: Convert to fraction form
    753,089/1,039,270.12 = 413,564.54/x
  3. Step 3: Cross multiply
    753,089x = 1,039,270.12 × 413,564.54
  4. Step 4: Simplify right side
    753,089x = 429,805,269,113.55
  5. Step 5: Solve for x
    x = 429,805,269,113.55/753,089
  6. Step 6: Final answer
    x = 570,723.07

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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.