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Finding the Fourth Proportional to 523,812.80, 785,524.80 and 208,204.40

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Solution

The fourth proportional to 523,812.80, 785,524.80 and 208,204.40 is: 312,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,812.80 : 785,524.80 = 208,204.40 : x
  2. Step 2: Convert to fraction form
    523,812.80/785,524.80 = 208,204.40/x
  3. Step 3: Cross multiply
    523,812.80x = 785,524.80 × 208,204.40
  4. Step 4: Simplify right side
    523,812.80x = 163,549,719,669.12
  5. Step 5: Solve for x
    x = 163,549,719,669.12/523,812.80
  6. Step 6: Final answer
    x = 312,229.33

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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.