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Finding the Fourth Proportional to 300,783.17, 415,075.29 and 178,357.91

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Solution

The fourth proportional to 300,783.17, 415,075.29 and 178,357.91 is: 246,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,783.17 : 415,075.29 = 178,357.91 : x
  2. Step 2: Convert to fraction form
    300,783.17/415,075.29 = 178,357.91/x
  3. Step 3: Cross multiply
    300,783.17x = 415,075.29 × 178,357.91
  4. Step 4: Simplify right side
    300,783.17x = 74,031,961,217.04
  5. Step 5: Solve for x
    x = 74,031,961,217.04/300,783.17
  6. Step 6: Final answer
    x = 246,130.66

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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.