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Finding the Fourth Proportional to 412,518.80, 569,302.25 and 231,230.77

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Solution

The fourth proportional to 412,518.80, 569,302.25 and 231,230.77 is: 319,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,518.80 : 569,302.25 = 231,230.77 : x
  2. Step 2: Convert to fraction form
    412,518.80/569,302.25 = 231,230.77/x
  3. Step 3: Cross multiply
    412,518.80x = 569,302.25 × 231,230.77
  4. Step 4: Simplify right side
    412,518.80x = 131,640,195,050.82
  5. Step 5: Solve for x
    x = 131,640,195,050.82/412,518.80
  6. Step 6: Final answer
    x = 319,113.20

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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.