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Finding the Fourth Proportional to 840,419.44, 1,159,771.40 and 458,438

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Solution

The fourth proportional to 840,419.44, 1,159,771.40 and 458,438 is: 632,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,419.44 : 1,159,771.40 = 458,438 : x
  2. Step 2: Convert to fraction form
    840,419.44/1,159,771.40 = 458,438/x
  3. Step 3: Cross multiply
    840,419.44x = 1,159,771.40 × 458,438
  4. Step 4: Simplify right side
    840,419.44x = 531,683,281,073.20
  5. Step 5: Solve for x
    x = 531,683,281,073.20/840,419.44
  6. Step 6: Final answer
    x = 632,640.39

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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.