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Finding the Fourth Proportional to 384,803.19, 531,029.12 and 215,037.32

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Solution

The fourth proportional to 384,803.19, 531,029.12 and 215,037.32 is: 296,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,803.19 : 531,029.12 = 215,037.32 : x
  2. Step 2: Convert to fraction form
    384,803.19/531,029.12 = 215,037.32/x
  3. Step 3: Cross multiply
    384,803.19x = 531,029.12 × 215,037.32
  4. Step 4: Simplify right side
    384,803.19x = 114,191,075,076.43
  5. Step 5: Solve for x
    x = 114,191,075,076.43/384,803.19
  6. Step 6: Final answer
    x = 296,751.89

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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.