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Finding the Fourth Proportional to 408,461.40, 612,692.10 and 346,253.40

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Solution

The fourth proportional to 408,461.40, 612,692.10 and 346,253.40 is: 519,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,461.40 : 612,692.10 = 346,253.40 : x
  2. Step 2: Convert to fraction form
    408,461.40/612,692.10 = 346,253.40/x
  3. Step 3: Cross multiply
    408,461.40x = 612,692.10 × 346,253.40
  4. Step 4: Simplify right side
    408,461.40x = 212,146,722,778.14
  5. Step 5: Solve for x
    x = 212,146,722,778.14/408,461.40
  6. Step 6: Final answer
    x = 519,380.10

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1.5x scale

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.