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Finding the Fourth Proportional to 502,198.50, 693,303.83 and 387,225.18

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Solution

The fourth proportional to 502,198.50, 693,303.83 and 387,225.18 is: 534,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,198.50 : 693,303.83 = 387,225.18 : x
  2. Step 2: Convert to fraction form
    502,198.50/693,303.83 = 387,225.18/x
  3. Step 3: Cross multiply
    502,198.50x = 693,303.83 × 387,225.18
  4. Step 4: Simplify right side
    502,198.50x = 268,464,698,430.31
  5. Step 5: Solve for x
    x = 268,464,698,430.31/502,198.50
  6. Step 6: Final answer
    x = 534,578.85

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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.