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Finding the Fourth Proportional to 426,698.80, 640,045.89 and 173,978.31

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Solution

The fourth proportional to 426,698.80, 640,045.89 and 173,978.31 is: 260,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,698.80 : 640,045.89 = 173,978.31 : x
  2. Step 2: Convert to fraction form
    426,698.80/640,045.89 = 173,978.31/x
  3. Step 3: Cross multiply
    426,698.80x = 640,045.89 × 173,978.31
  4. Step 4: Simplify right side
    426,698.80x = 111,354,102,264.65
  5. Step 5: Solve for x
    x = 111,354,102,264.65/426,698.80
  6. Step 6: Final answer
    x = 260,966.52

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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.