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Finding the Fourth Proportional to 390,096, 538,332.48 and 211,248

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Solution

The fourth proportional to 390,096, 538,332.48 and 211,248 is: 291,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,096 : 538,332.48 = 211,248 : x
  2. Step 2: Convert to fraction form
    390,096/538,332.48 = 211,248/x
  3. Step 3: Cross multiply
    390,096x = 538,332.48 × 211,248
  4. Step 4: Simplify right side
    390,096x = 113,721,659,735.04
  5. Step 5: Solve for x
    x = 113,721,659,735.04/390,096
  6. Step 6: Final answer
    x = 291,522.24

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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.