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Finding the Fourth Proportional to 315,156.42, 472,830.93 and 188,937.18

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Solution

The fourth proportional to 315,156.42, 472,830.93 and 188,937.18 is: 283,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,156.42 : 472,830.93 = 188,937.18 : x
  2. Step 2: Convert to fraction form
    315,156.42/472,830.93 = 188,937.18/x
  3. Step 3: Cross multiply
    315,156.42x = 472,830.93 × 188,937.18
  4. Step 4: Simplify right side
    315,156.42x = 89,335,342,530.98
  5. Step 5: Solve for x
    x = 89,335,342,530.98/315,156.42
  6. Step 6: Final answer
    x = 283,463.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.