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Finding the Fourth Proportional to 390,207.42, 538,474.86 and 218,125.76

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Solution

The fourth proportional to 390,207.42, 538,474.86 and 218,125.76 is: 301,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,207.42 : 538,474.86 = 218,125.76 : x
  2. Step 2: Convert to fraction form
    390,207.42/538,474.86 = 218,125.76/x
  3. Step 3: Cross multiply
    390,207.42x = 538,474.86 × 218,125.76
  4. Step 4: Simplify right side
    390,207.42x = 117,455,235,386.02
  5. Step 5: Solve for x
    x = 117,455,235,386.02/390,207.42
  6. Step 6: Final answer
    x = 301,007.18

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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.