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Finding the Fourth Proportional to 646,058.66, 969,011.67 and 172,780.70

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Solution

The fourth proportional to 646,058.66, 969,011.67 and 172,780.70 is: 259,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,058.66 : 969,011.67 = 172,780.70 : x
  2. Step 2: Convert to fraction form
    646,058.66/969,011.67 = 172,780.70/x
  3. Step 3: Cross multiply
    646,058.66x = 969,011.67 × 172,780.70
  4. Step 4: Simplify right side
    646,058.66x = 167,426,514,650.77
  5. Step 5: Solve for x
    x = 167,426,514,650.77/646,058.66
  6. Step 6: Final answer
    x = 259,150.64

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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.