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Finding the Fourth Proportional to 315,439.12, 472,692.12 and 209,875.60

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Solution

The fourth proportional to 315,439.12, 472,692.12 and 209,875.60 is: 314,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,439.12 : 472,692.12 = 209,875.60 : x
  2. Step 2: Convert to fraction form
    315,439.12/472,692.12 = 209,875.60/x
  3. Step 3: Cross multiply
    315,439.12x = 472,692.12 × 209,875.60
  4. Step 4: Simplify right side
    315,439.12x = 99,206,542,300.27
  5. Step 5: Solve for x
    x = 99,206,542,300.27/315,439.12
  6. Step 6: Final answer
    x = 314,502.98

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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.