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Finding the Fourth Proportional to 288,523.60, 432,007.80 and 209,208.40

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Solution

The fourth proportional to 288,523.60, 432,007.80 and 209,208.40 is: 313,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,523.60 : 432,007.80 = 209,208.40 : x
  2. Step 2: Convert to fraction form
    288,523.60/432,007.80 = 209,208.40/x
  3. Step 3: Cross multiply
    288,523.60x = 432,007.80 × 209,208.40
  4. Step 4: Simplify right side
    288,523.60x = 90,379,660,625.52
  5. Step 5: Solve for x
    x = 90,379,660,625.52/288,523.60
  6. Step 6: Final answer
    x = 313,248.76

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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.