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Finding the Fourth Proportional to 553,175.50, 763,319.08 and 311,451.84

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Solution

The fourth proportional to 553,175.50, 763,319.08 and 311,451.84 is: 429,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,175.50 : 763,319.08 = 311,451.84 : x
  2. Step 2: Convert to fraction form
    553,175.50/763,319.08 = 311,451.84/x
  3. Step 3: Cross multiply
    553,175.50x = 763,319.08 × 311,451.84
  4. Step 4: Simplify right side
    553,175.50x = 237,737,131,973.11
  5. Step 5: Solve for x
    x = 237,737,131,973.11/553,175.50
  6. Step 6: Final answer
    x = 429,768.01

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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.