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Finding the Fourth Proportional to 390,699.75, 539,168.91 and 211,851.75

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Solution

The fourth proportional to 390,699.75, 539,168.91 and 211,851.75 is: 292,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,699.75 : 539,168.91 = 211,851.75 : x
  2. Step 2: Convert to fraction form
    390,699.75/539,168.91 = 211,851.75/x
  3. Step 3: Cross multiply
    390,699.75x = 539,168.91 × 211,851.75
  4. Step 4: Simplify right side
    390,699.75x = 114,223,877,129.09
  5. Step 5: Solve for x
    x = 114,223,877,129.09/390,699.75
  6. Step 6: Final answer
    x = 292,357.18

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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.