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Finding the Fourth Proportional to 708,042.20, 978,341.10 and 565,974.68

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Solution

The fourth proportional to 708,042.20, 978,341.10 and 565,974.68 is: 782,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,042.20 : 978,341.10 = 565,974.68 : x
  2. Step 2: Convert to fraction form
    708,042.20/978,341.10 = 565,974.68/x
  3. Step 3: Cross multiply
    708,042.20x = 978,341.10 × 565,974.68
  4. Step 4: Simplify right side
    708,042.20x = 553,716,291,003.35
  5. Step 5: Solve for x
    x = 553,716,291,003.35/708,042.20
  6. Step 6: Final answer
    x = 782,038.54

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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.