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Finding the Fourth Proportional to 316,523.10, 437,005.83 and 282,473.34

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Solution

The fourth proportional to 316,523.10, 437,005.83 and 282,473.34 is: 389,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,523.10 : 437,005.83 = 282,473.34 : x
  2. Step 2: Convert to fraction form
    316,523.10/437,005.83 = 282,473.34/x
  3. Step 3: Cross multiply
    316,523.10x = 437,005.83 × 282,473.34
  4. Step 4: Simplify right side
    316,523.10x = 123,442,496,399.57
  5. Step 5: Solve for x
    x = 123,442,496,399.57/316,523.10
  6. Step 6: Final answer
    x = 389,995.22

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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.