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Finding the Fourth Proportional to 284,056.80, 426,084.65 and 165,645.10

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Solution

The fourth proportional to 284,056.80, 426,084.65 and 165,645.10 is: 248,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,056.80 : 426,084.65 = 165,645.10 : x
  2. Step 2: Convert to fraction form
    284,056.80/426,084.65 = 165,645.10/x
  3. Step 3: Cross multiply
    284,056.80x = 426,084.65 × 165,645.10
  4. Step 4: Simplify right side
    284,056.80x = 70,578,834,457.72
  5. Step 5: Solve for x
    x = 70,578,834,457.72/284,056.80
  6. Step 6: Final answer
    x = 248,467.33

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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.