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Finding the Fourth Proportional to 390,348.86, 538,656.40 and 218,281

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Solution

The fourth proportional to 390,348.86, 538,656.40 and 218,281 is: 301,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,348.86 : 538,656.40 = 218,281 : x
  2. Step 2: Convert to fraction form
    390,348.86/538,656.40 = 218,281/x
  3. Step 3: Cross multiply
    390,348.86x = 538,656.40 × 218,281
  4. Step 4: Simplify right side
    390,348.86x = 117,578,457,648.40
  5. Step 5: Solve for x
    x = 117,578,457,648.40/390,348.86
  6. Step 6: Final answer
    x = 301,213.79

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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.