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Finding the Fourth Proportional to 348,477.20, 521,938.20 and 286,269.20

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Solution

The fourth proportional to 348,477.20, 521,938.20 and 286,269.20 is: 428,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,477.20 : 521,938.20 = 286,269.20 : x
  2. Step 2: Convert to fraction form
    348,477.20/521,938.20 = 286,269.20/x
  3. Step 3: Cross multiply
    348,477.20x = 521,938.20 × 286,269.20
  4. Step 4: Simplify right side
    348,477.20x = 149,414,830,963.44
  5. Step 5: Solve for x
    x = 149,414,830,963.44/348,477.20
  6. Step 6: Final answer
    x = 428,765.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.