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Finding the Fourth Proportional to 429,870.91, 643,965.57 and 354,078.26

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Solution

The fourth proportional to 429,870.91, 643,965.57 and 354,078.26 is: 530,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,870.91 : 643,965.57 = 354,078.26 : x
  2. Step 2: Convert to fraction form
    429,870.91/643,965.57 = 354,078.26/x
  3. Step 3: Cross multiply
    429,870.91x = 643,965.57 × 354,078.26
  4. Step 4: Simplify right side
    429,870.91x = 228,014,208,535.86
  5. Step 5: Solve for x
    x = 228,014,208,535.86/429,870.91
  6. Step 6: Final answer
    x = 530,424.84

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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.