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Finding the Fourth Proportional to 369,218.86, 509,692.13 and 216,235.78

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Solution

The fourth proportional to 369,218.86, 509,692.13 and 216,235.78 is: 298,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,218.86 : 509,692.13 = 216,235.78 : x
  2. Step 2: Convert to fraction form
    369,218.86/509,692.13 = 216,235.78/x
  3. Step 3: Cross multiply
    369,218.86x = 509,692.13 × 216,235.78
  4. Step 4: Simplify right side
    369,218.86x = 110,213,673,745.89
  5. Step 5: Solve for x
    x = 110,213,673,745.89/369,218.86
  6. Step 6: Final answer
    x = 298,505.00

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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.