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Finding the Fourth Proportional to 429,074.78, 643,718.27 and 302,962.10

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Solution

The fourth proportional to 429,074.78, 643,718.27 and 302,962.10 is: 454,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,074.78 : 643,718.27 = 302,962.10 : x
  2. Step 2: Convert to fraction form
    429,074.78/643,718.27 = 302,962.10/x
  3. Step 3: Cross multiply
    429,074.78x = 643,718.27 × 302,962.10
  4. Step 4: Simplify right side
    429,074.78x = 195,022,238,982.05
  5. Step 5: Solve for x
    x = 195,022,238,982.05/429,074.78
  6. Step 6: Final answer
    x = 454,518.07

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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.