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Finding the Fourth Proportional to 553,185.22, 763,468.32 and 311,515.06

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Solution

The fourth proportional to 553,185.22, 763,468.32 and 311,515.06 is: 429,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,185.22 : 763,468.32 = 311,515.06 : x
  2. Step 2: Convert to fraction form
    553,185.22/763,468.32 = 311,515.06/x
  3. Step 3: Cross multiply
    553,185.22x = 763,468.32 × 311,515.06
  4. Step 4: Simplify right side
    553,185.22x = 237,831,879,512.90
  5. Step 5: Solve for x
    x = 237,831,879,512.90/553,185.22
  6. Step 6: Final answer
    x = 429,931.73

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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.