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Finding the Fourth Proportional to 704,530, 972,251.40 and 402,730.48

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Solution

The fourth proportional to 704,530, 972,251.40 and 402,730.48 is: 555,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,530 : 972,251.40 = 402,730.48 : x
  2. Step 2: Convert to fraction form
    704,530/972,251.40 = 402,730.48/x
  3. Step 3: Cross multiply
    704,530x = 972,251.40 × 402,730.48
  4. Step 4: Simplify right side
    704,530x = 391,555,273,002.67
  5. Step 5: Solve for x
    x = 391,555,273,002.67/704,530
  6. Step 6: Final answer
    x = 555,768.06

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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.