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Finding the Fourth Proportional to 509,019.18, 762,864.57 and 284,370.54

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Solution

The fourth proportional to 509,019.18, 762,864.57 and 284,370.54 is: 426,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,019.18 : 762,864.57 = 284,370.54 : x
  2. Step 2: Convert to fraction form
    509,019.18/762,864.57 = 284,370.54/x
  3. Step 3: Cross multiply
    509,019.18x = 762,864.57 × 284,370.54
  4. Step 4: Simplify right side
    509,019.18x = 216,936,209,717.77
  5. Step 5: Solve for x
    x = 216,936,209,717.77/509,019.18
  6. Step 6: Final answer
    x = 426,184.75

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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.