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Finding the Fourth Proportional to 390,006.48, 538,199.28 and 217,913.88

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Solution

The fourth proportional to 390,006.48, 538,199.28 and 217,913.88 is: 300,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,006.48 : 538,199.28 = 217,913.88 : x
  2. Step 2: Convert to fraction form
    390,006.48/538,199.28 = 217,913.88/x
  3. Step 3: Cross multiply
    390,006.48x = 538,199.28 × 217,913.88
  4. Step 4: Simplify right side
    390,006.48x = 117,281,089,537.44
  5. Step 5: Solve for x
    x = 117,281,089,537.44/390,006.48
  6. Step 6: Final answer
    x = 300,715.75

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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.