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Finding the Fourth Proportional to 493,036.80, 680,389.92 and 266,683.20

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Solution

The fourth proportional to 493,036.80, 680,389.92 and 266,683.20 is: 368,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,036.80 : 680,389.92 = 266,683.20 : x
  2. Step 2: Convert to fraction form
    493,036.80/680,389.92 = 266,683.20/x
  3. Step 3: Cross multiply
    493,036.80x = 680,389.92 × 266,683.20
  4. Step 4: Simplify right side
    493,036.80x = 181,448,561,113.34
  5. Step 5: Solve for x
    x = 181,448,561,113.34/493,036.80
  6. Step 6: Final answer
    x = 368,022.35

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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.