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Finding the Fourth Proportional to 406,338.57, 560,713.95 and 231,907.91

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Solution

The fourth proportional to 406,338.57, 560,713.95 and 231,907.91 is: 320,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,338.57 : 560,713.95 = 231,907.91 : x
  2. Step 2: Convert to fraction form
    406,338.57/560,713.95 = 231,907.91/x
  3. Step 3: Cross multiply
    406,338.57x = 560,713.95 × 231,907.91
  4. Step 4: Simplify right side
    406,338.57x = 130,033,999,092.81
  5. Step 5: Solve for x
    x = 130,033,999,092.81/406,338.57
  6. Step 6: Final answer
    x = 320,013.93

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1.5x scale

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.