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Finding the Fourth Proportional to 288,288.64, 432,432.92 and 209,901.68

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Solution

The fourth proportional to 288,288.64, 432,432.92 and 209,901.68 is: 314,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,288.64 : 432,432.92 = 209,901.68 : x
  2. Step 2: Convert to fraction form
    288,288.64/432,432.92 = 209,901.68/x
  3. Step 3: Cross multiply
    288,288.64x = 432,432.92 × 209,901.68
  4. Step 4: Simplify right side
    288,288.64x = 90,768,396,395.31
  5. Step 5: Solve for x
    x = 90,768,396,395.31/288,288.64
  6. Step 6: Final answer
    x = 314,852.49

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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.