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Finding the Fourth Proportional to 429,732, 640,058.69 and 407,249.64

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Solution

The fourth proportional to 429,732, 640,058.69 and 407,249.64 is: 606,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,732 : 640,058.69 = 407,249.64 : x
  2. Step 2: Convert to fraction form
    429,732/640,058.69 = 407,249.64/x
  3. Step 3: Cross multiply
    429,732x = 640,058.69 × 407,249.64
  4. Step 4: Simplify right side
    429,732x = 260,663,672,099.50
  5. Step 5: Solve for x
    x = 260,663,672,099.50/429,732
  6. Step 6: Final answer
    x = 606,572.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.