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Finding the Fourth Proportional to 646,711.04, 892,342.96 and 360,223.84

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Solution

The fourth proportional to 646,711.04, 892,342.96 and 360,223.84 is: 497,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,711.04 : 892,342.96 = 360,223.84 : x
  2. Step 2: Convert to fraction form
    646,711.04/892,342.96 = 360,223.84/x
  3. Step 3: Cross multiply
    646,711.04x = 892,342.96 × 360,223.84
  4. Step 4: Simplify right side
    646,711.04x = 321,443,207,648.17
  5. Step 5: Solve for x
    x = 321,443,207,648.17/646,711.04
  6. Step 6: Final answer
    x = 497,043.02

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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.