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Finding the Fourth Proportional to 704,491, 972,197.58 and 402,691.48

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Solution

The fourth proportional to 704,491, 972,197.58 and 402,691.48 is: 555,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,491 : 972,197.58 = 402,691.48 : x
  2. Step 2: Convert to fraction form
    704,491/972,197.58 = 402,691.48/x
  3. Step 3: Cross multiply
    704,491x = 972,197.58 × 402,691.48
  4. Step 4: Simplify right side
    704,491x = 391,495,682,342.62
  5. Step 5: Solve for x
    x = 391,495,682,342.62/704,491
  6. Step 6: Final answer
    x = 555,714.24

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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.