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Finding the Fourth Proportional to 429,451.78, 592,698.12 and 259,687.12

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Solution

The fourth proportional to 429,451.78, 592,698.12 and 259,687.12 is: 358,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,451.78 : 592,698.12 = 259,687.12 : x
  2. Step 2: Convert to fraction form
    429,451.78/592,698.12 = 259,687.12/x
  3. Step 3: Cross multiply
    429,451.78x = 592,698.12 × 259,687.12
  4. Step 4: Simplify right side
    429,451.78x = 153,916,067,812.21
  5. Step 5: Solve for x
    x = 153,916,067,812.21/429,451.78
  6. Step 6: Final answer
    x = 358,401.28

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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.