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Finding the Fourth Proportional to 266,210.30, 399,424.80 and 97,811.30

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Solution

The fourth proportional to 266,210.30, 399,424.80 and 97,811.30 is: 146,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,210.30 : 399,424.80 = 97,811.30 : x
  2. Step 2: Convert to fraction form
    266,210.30/399,424.80 = 97,811.30/x
  3. Step 3: Cross multiply
    266,210.30x = 399,424.80 × 97,811.30
  4. Step 4: Simplify right side
    266,210.30x = 39,068,258,940.24
  5. Step 5: Solve for x
    x = 39,068,258,940.24/266,210.30
  6. Step 6: Final answer
    x = 146,757.13

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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.