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Finding the Fourth Proportional to 313,404.80, 431,899.44 and 307,646.24

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Solution

The fourth proportional to 313,404.80, 431,899.44 and 307,646.24 is: 423,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,404.80 : 431,899.44 = 307,646.24 : x
  2. Step 2: Convert to fraction form
    313,404.80/431,899.44 = 307,646.24/x
  3. Step 3: Cross multiply
    313,404.80x = 431,899.44 × 307,646.24
  4. Step 4: Simplify right side
    313,404.80x = 132,872,238,774.11
  5. Step 5: Solve for x
    x = 132,872,238,774.11/313,404.80
  6. Step 6: Final answer
    x = 423,963.64

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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.