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Finding the Fourth Proportional to 390,555.61, 538,941.31 and 218,443.75

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Solution

The fourth proportional to 390,555.61, 538,941.31 and 218,443.75 is: 301,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,555.61 : 538,941.31 = 218,443.75 : x
  2. Step 2: Convert to fraction form
    390,555.61/538,941.31 = 218,443.75/x
  3. Step 3: Cross multiply
    390,555.61x = 538,941.31 × 218,443.75
  4. Step 4: Simplify right side
    390,555.61x = 117,728,363,153.14
  5. Step 5: Solve for x
    x = 117,728,363,153.14/390,555.61
  6. Step 6: Final answer
    x = 301,438.16

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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.