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Finding the Fourth Proportional to 287,608,438.80, 431,412,658.20 and 199,601,809.20

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Solution

The fourth proportional to 287,608,438.80, 431,412,658.20 and 199,601,809.20 is: 299,402,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,608,438.80 : 431,412,658.20 = 199,601,809.20 : x
  2. Step 2: Convert to fraction form
    287,608,438.80/431,412,658.20 = 199,601,809.20/x
  3. Step 3: Cross multiply
    287,608,438.80x = 431,412,658.20 × 199,601,809.20
  4. Step 4: Simplify right side
    287,608,438.80x = 86,110,747,088,501,200
  5. Step 5: Solve for x
    x = 86,110,747,088,501,200/287,608,438.80
  6. Step 6: Final answer
    x = 299,402,713.80

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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.