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Finding the Fourth Proportional to 503,253.60, 694,509.08 and 288,435.12

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Solution

The fourth proportional to 503,253.60, 694,509.08 and 288,435.12 is: 398,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,253.60 : 694,509.08 = 288,435.12 : x
  2. Step 2: Convert to fraction form
    503,253.60/694,509.08 = 288,435.12/x
  3. Step 3: Cross multiply
    503,253.60x = 694,509.08 × 288,435.12
  4. Step 4: Simplify right side
    503,253.60x = 200,320,808,388.71
  5. Step 5: Solve for x
    x = 200,320,808,388.71/503,253.60
  6. Step 6: Final answer
    x = 398,051.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.