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Finding the Fourth Proportional to 318,642.84, 439,739.64 and 175,416.20

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Solution

The fourth proportional to 318,642.84, 439,739.64 and 175,416.20 is: 242,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,642.84 : 439,739.64 = 175,416.20 : x
  2. Step 2: Convert to fraction form
    318,642.84/439,739.64 = 175,416.20/x
  3. Step 3: Cross multiply
    318,642.84x = 439,739.64 × 175,416.20
  4. Step 4: Simplify right side
    318,642.84x = 77,137,456,638.17
  5. Step 5: Solve for x
    x = 77,137,456,638.17/318,642.84
  6. Step 6: Final answer
    x = 242,081.25

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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.