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Finding the Fourth Proportional to 390,835.13, 539,352.47 and 211,987.13

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Solution

The fourth proportional to 390,835.13, 539,352.47 and 211,987.13 is: 292,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,835.13 : 539,352.47 = 211,987.13 : x
  2. Step 2: Convert to fraction form
    390,835.13/539,352.47 = 211,987.13/x
  3. Step 3: Cross multiply
    390,835.13x = 539,352.47 × 211,987.13
  4. Step 4: Simplify right side
    390,835.13x = 114,335,780,006.92
  5. Step 5: Solve for x
    x = 114,335,780,006.92/390,835.13
  6. Step 6: Final answer
    x = 292,542.23

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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.