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Finding the Fourth Proportional to 288,521.60, 432,004.80 and 209,206.40

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Solution

The fourth proportional to 288,521.60, 432,004.80 and 209,206.40 is: 313,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,521.60 : 432,004.80 = 209,206.40 : x
  2. Step 2: Convert to fraction form
    288,521.60/432,004.80 = 209,206.40/x
  3. Step 3: Cross multiply
    288,521.60x = 432,004.80 × 209,206.40
  4. Step 4: Simplify right side
    288,521.60x = 90,378,168,990.72
  5. Step 5: Solve for x
    x = 90,378,168,990.72/288,521.60
  6. Step 6: Final answer
    x = 313,245.76

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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.