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Finding the Fourth Proportional to 509,364, 762,882.57 and 243,312.75

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Solution

The fourth proportional to 509,364, 762,882.57 and 243,312.75 is: 364,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,364 : 762,882.57 = 243,312.75 : x
  2. Step 2: Convert to fraction form
    509,364/762,882.57 = 243,312.75/x
  3. Step 3: Cross multiply
    509,364x = 762,882.57 × 243,312.75
  4. Step 4: Simplify right side
    509,364x = 185,619,056,033.77
  5. Step 5: Solve for x
    x = 185,619,056,033.77/509,364
  6. Step 6: Final answer
    x = 364,413.38

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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.