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Finding the Fourth Proportional to 539,890.80, 745,055.22 and 310,561.98

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Solution

The fourth proportional to 539,890.80, 745,055.22 and 310,561.98 is: 428,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,890.80 : 745,055.22 = 310,561.98 : x
  2. Step 2: Convert to fraction form
    539,890.80/745,055.22 = 310,561.98/x
  3. Step 3: Cross multiply
    539,890.80x = 745,055.22 × 310,561.98
  4. Step 4: Simplify right side
    539,890.80x = 231,385,824,332.54
  5. Step 5: Solve for x
    x = 231,385,824,332.54/539,890.80
  6. Step 6: Final answer
    x = 428,578.94

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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.