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Finding the Fourth Proportional to 429,785.16, 644,806.52 and 173,485.77

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Solution

The fourth proportional to 429,785.16, 644,806.52 and 173,485.77 is: 260,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,785.16 : 644,806.52 = 173,485.77 : x
  2. Step 2: Convert to fraction form
    429,785.16/644,806.52 = 173,485.77/x
  3. Step 3: Cross multiply
    429,785.16x = 644,806.52 × 173,485.77
  4. Step 4: Simplify right side
    429,785.16x = 111,864,755,623.22
  5. Step 5: Solve for x
    x = 111,864,755,623.22/429,785.16
  6. Step 6: Final answer
    x = 260,280.64

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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.