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Finding the Fourth Proportional to 390,406.52, 538,738.65 and 215,966.32

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Solution

The fourth proportional to 390,406.52, 538,738.65 and 215,966.32 is: 298,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,406.52 : 538,738.65 = 215,966.32 : x
  2. Step 2: Convert to fraction form
    390,406.52/538,738.65 = 215,966.32/x
  3. Step 3: Cross multiply
    390,406.52x = 538,738.65 × 215,966.32
  4. Step 4: Simplify right side
    390,406.52x = 116,349,402,335.42
  5. Step 5: Solve for x
    x = 116,349,402,335.42/390,406.52
  6. Step 6: Final answer
    x = 298,021.15

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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.