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Finding the Fourth Proportional to 318,649.32, 439,747.74 and 175,415.40

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Solution

The fourth proportional to 318,649.32, 439,747.74 and 175,415.40 is: 242,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,649.32 : 439,747.74 = 175,415.40 : x
  2. Step 2: Convert to fraction form
    318,649.32/439,747.74 = 175,415.40/x
  3. Step 3: Cross multiply
    318,649.32x = 439,747.74 × 175,415.40
  4. Step 4: Simplify right side
    318,649.32x = 77,138,525,711.20
  5. Step 5: Solve for x
    x = 77,138,525,711.20/318,649.32
  6. Step 6: Final answer
    x = 242,079.68

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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.