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Finding the Fourth Proportional to 288,529.44, 432,417.12 and 208,835.84

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Solution

The fourth proportional to 288,529.44, 432,417.12 and 208,835.84 is: 312,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,529.44 : 432,417.12 = 208,835.84 : x
  2. Step 2: Convert to fraction form
    288,529.44/432,417.12 = 208,835.84/x
  3. Step 3: Cross multiply
    288,529.44x = 432,417.12 × 208,835.84
  4. Step 4: Simplify right side
    288,529.44x = 90,304,192,485.58
  5. Step 5: Solve for x
    x = 90,304,192,485.58/288,529.44
  6. Step 6: Final answer
    x = 312,980.86

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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.