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Finding the Fourth Proportional to 390,899.14, 539,441.85 and 212,051.14

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Solution

The fourth proportional to 390,899.14, 539,441.85 and 212,051.14 is: 292,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,899.14 : 539,441.85 = 212,051.14 : x
  2. Step 2: Convert to fraction form
    390,899.14/539,441.85 = 212,051.14/x
  3. Step 3: Cross multiply
    390,899.14x = 539,441.85 × 212,051.14
  4. Step 4: Simplify right side
    390,899.14x = 114,389,259,256.21
  5. Step 5: Solve for x
    x = 114,389,259,256.21/390,899.14
  6. Step 6: Final answer
    x = 292,631.14

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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.