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Finding the Fourth Proportional to 852,479, 1,176,415.35 and 470,505.78

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Solution

The fourth proportional to 852,479, 1,176,415.35 and 470,505.78 is: 649,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,479 : 1,176,415.35 = 470,505.78 : x
  2. Step 2: Convert to fraction form
    852,479/1,176,415.35 = 470,505.78/x
  3. Step 3: Cross multiply
    852,479x = 1,176,415.35 × 470,505.78
  4. Step 4: Simplify right side
    852,479x = 553,510,221,855.72
  5. Step 5: Solve for x
    x = 553,510,221,855.72/852,479
  6. Step 6: Final answer
    x = 649,294.85

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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.