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Finding the Fourth Proportional to 575,442.63, 862,382.84 and 305,502.57

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Solution

The fourth proportional to 575,442.63, 862,382.84 and 305,502.57 is: 457,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,442.63 : 862,382.84 = 305,502.57 : x
  2. Step 2: Convert to fraction form
    575,442.63/862,382.84 = 305,502.57/x
  3. Step 3: Cross multiply
    575,442.63x = 862,382.84 × 305,502.57
  4. Step 4: Simplify right side
    575,442.63x = 263,460,172,416.39
  5. Step 5: Solve for x
    x = 263,460,172,416.39/575,442.63
  6. Step 6: Final answer
    x = 457,839.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.