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Finding the Fourth Proportional to 835,692.80, 1,254,358.40 and 415,443.20

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Solution

The fourth proportional to 835,692.80, 1,254,358.40 and 415,443.20 is: 623,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,692.80 : 1,254,358.40 = 415,443.20 : x
  2. Step 2: Convert to fraction form
    835,692.80/1,254,358.40 = 415,443.20/x
  3. Step 3: Cross multiply
    835,692.80x = 1,254,358.40 × 415,443.20
  4. Step 4: Simplify right side
    835,692.80x = 521,114,667,642.88
  5. Step 5: Solve for x
    x = 521,114,667,642.88/835,692.80
  6. Step 6: Final answer
    x = 623,572.04

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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.