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Finding the Fourth Proportional to 390,582, 539,003.16 and 211,734

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Solution

The fourth proportional to 390,582, 539,003.16 and 211,734 is: 292,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,582 : 539,003.16 = 211,734 : x
  2. Step 2: Convert to fraction form
    390,582/539,003.16 = 211,734/x
  3. Step 3: Cross multiply
    390,582x = 539,003.16 × 211,734
  4. Step 4: Simplify right side
    390,582x = 114,125,295,079.44
  5. Step 5: Solve for x
    x = 114,125,295,079.44/390,582
  6. Step 6: Final answer
    x = 292,192.92

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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.