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Finding the Fourth Proportional to 287,709.60, 431,199.90 and 109,979.40

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Solution

The fourth proportional to 287,709.60, 431,199.90 and 109,979.40 is: 164,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,709.60 : 431,199.90 = 109,979.40 : x
  2. Step 2: Convert to fraction form
    287,709.60/431,199.90 = 109,979.40/x
  3. Step 3: Cross multiply
    287,709.60x = 431,199.90 × 109,979.40
  4. Step 4: Simplify right side
    287,709.60x = 47,423,106,282.06
  5. Step 5: Solve for x
    x = 47,423,106,282.06/287,709.60
  6. Step 6: Final answer
    x = 164,829.77

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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.