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Finding the Fourth Proportional to 509,302.40, 763,979.52 and 189,383.36

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Solution

The fourth proportional to 509,302.40, 763,979.52 and 189,383.36 is: 284,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,302.40 : 763,979.52 = 189,383.36 : x
  2. Step 2: Convert to fraction form
    509,302.40/763,979.52 = 189,383.36/x
  3. Step 3: Cross multiply
    509,302.40x = 763,979.52 × 189,383.36
  4. Step 4: Simplify right side
    509,302.40x = 144,685,008,468.79
  5. Step 5: Solve for x
    x = 144,685,008,468.79/509,302.40
  6. Step 6: Final answer
    x = 284,084.68

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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.