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Finding the Fourth Proportional to 417,407.40, 575,816.25 and 281,266.65

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Solution

The fourth proportional to 417,407.40, 575,816.25 and 281,266.65 is: 388,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,407.40 : 575,816.25 = 281,266.65 : x
  2. Step 2: Convert to fraction form
    417,407.40/575,816.25 = 281,266.65/x
  3. Step 3: Cross multiply
    417,407.40x = 575,816.25 × 281,266.65
  4. Step 4: Simplify right side
    417,407.40x = 161,957,907,653.06
  5. Step 5: Solve for x
    x = 161,957,907,653.06/417,407.40
  6. Step 6: Final answer
    x = 388,009.19

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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.