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Finding the Fourth Proportional to 390,343.50, 538,674.40 and 211,495.50

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Solution

The fourth proportional to 390,343.50, 538,674.40 and 211,495.50 is: 291,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,343.50 : 538,674.40 = 211,495.50 : x
  2. Step 2: Convert to fraction form
    390,343.50/538,674.40 = 211,495.50/x
  3. Step 3: Cross multiply
    390,343.50x = 538,674.40 × 211,495.50
  4. Step 4: Simplify right side
    390,343.50x = 113,927,211,565.20
  5. Step 5: Solve for x
    x = 113,927,211,565.20/390,343.50
  6. Step 6: Final answer
    x = 291,863.99

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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.