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Finding the Fourth Proportional to 315,205.60, 472,808.40 and 215,672.80

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Solution

The fourth proportional to 315,205.60, 472,808.40 and 215,672.80 is: 323,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,205.60 : 472,808.40 = 215,672.80 : x
  2. Step 2: Convert to fraction form
    315,205.60/472,808.40 = 215,672.80/x
  3. Step 3: Cross multiply
    315,205.60x = 472,808.40 × 215,672.80
  4. Step 4: Simplify right side
    315,205.60x = 101,971,911,491.52
  5. Step 5: Solve for x
    x = 101,971,911,491.52/315,205.60
  6. Step 6: Final answer
    x = 323,509.20

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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.