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Finding the Fourth Proportional to 284,924.66, 426,459.80 and 210,014.78

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Solution

The fourth proportional to 284,924.66, 426,459.80 and 210,014.78 is: 314,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,924.66 : 426,459.80 = 210,014.78 : x
  2. Step 2: Convert to fraction form
    284,924.66/426,459.80 = 210,014.78/x
  3. Step 3: Cross multiply
    284,924.66x = 426,459.80 × 210,014.78
  4. Step 4: Simplify right side
    284,924.66x = 89,562,859,468.58
  5. Step 5: Solve for x
    x = 89,562,859,468.58/284,924.66
  6. Step 6: Final answer
    x = 314,338.75

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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.