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Finding the Fourth Proportional to 313,041.15, 431,830.17 and 190,570.77

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Solution

The fourth proportional to 313,041.15, 431,830.17 and 190,570.77 is: 262,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,041.15 : 431,830.17 = 190,570.77 : x
  2. Step 2: Convert to fraction form
    313,041.15/431,830.17 = 190,570.77/x
  3. Step 3: Cross multiply
    313,041.15x = 431,830.17 × 190,570.77
  4. Step 4: Simplify right side
    313,041.15x = 82,294,208,006.13
  5. Step 5: Solve for x
    x = 82,294,208,006.13/313,041.15
  6. Step 6: Final answer
    x = 262,886.23

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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.