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Finding the Fourth Proportional to 615,408.40, 849,264 and 339,766.48

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Solution

The fourth proportional to 615,408.40, 849,264 and 339,766.48 is: 468,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,408.40 : 849,264 = 339,766.48 : x
  2. Step 2: Convert to fraction form
    615,408.40/849,264 = 339,766.48/x
  3. Step 3: Cross multiply
    615,408.40x = 849,264 × 339,766.48
  4. Step 4: Simplify right side
    615,408.40x = 288,551,439,870.72
  5. Step 5: Solve for x
    x = 288,551,439,870.72/615,408.40
  6. Step 6: Final answer
    x = 468,877.97

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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.