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Finding the Fourth Proportional to 646,937.84, 892,853.16 and 392,288.24

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Solution

The fourth proportional to 646,937.84, 892,853.16 and 392,288.24 is: 541,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,937.84 : 892,853.16 = 392,288.24 : x
  2. Step 2: Convert to fraction form
    646,937.84/892,853.16 = 392,288.24/x
  3. Step 3: Cross multiply
    646,937.84x = 892,853.16 × 392,288.24
  4. Step 4: Simplify right side
    646,937.84x = 350,255,794,714.84
  5. Step 5: Solve for x
    x = 350,255,794,714.84/646,937.84
  6. Step 6: Final answer
    x = 541,405.64

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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.