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Finding the Fourth Proportional to 300,782.17, 415,073.91 and 178,356.91

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Solution

The fourth proportional to 300,782.17, 415,073.91 and 178,356.91 is: 246,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,782.17 : 415,073.91 = 178,356.91 : x
  2. Step 2: Convert to fraction form
    300,782.17/415,073.91 = 178,356.91/x
  3. Step 3: Cross multiply
    300,782.17x = 415,073.91 × 178,356.91
  4. Step 4: Simplify right side
    300,782.17x = 74,031,300,009.22
  5. Step 5: Solve for x
    x = 74,031,300,009.22/300,782.17
  6. Step 6: Final answer
    x = 246,129.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.