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Finding the Fourth Proportional to 426,698.30, 640,045.14 and 173,977.81

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Solution

The fourth proportional to 426,698.30, 640,045.14 and 173,977.81 is: 260,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,698.30 : 640,045.14 = 173,977.81 : x
  2. Step 2: Convert to fraction form
    426,698.30/640,045.14 = 173,977.81/x
  3. Step 3: Cross multiply
    426,698.30x = 640,045.14 × 173,977.81
  4. Step 4: Simplify right side
    426,698.30x = 111,353,651,758.34
  5. Step 5: Solve for x
    x = 111,353,651,758.34/426,698.30
  6. Step 6: Final answer
    x = 260,965.77

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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.