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Finding the Fourth Proportional to 315,143.64, 472,715.52 and 104,783.40

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Solution

The fourth proportional to 315,143.64, 472,715.52 and 104,783.40 is: 157,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,143.64 : 472,715.52 = 104,783.40 : x
  2. Step 2: Convert to fraction form
    315,143.64/472,715.52 = 104,783.40/x
  3. Step 3: Cross multiply
    315,143.64x = 472,715.52 × 104,783.40
  4. Step 4: Simplify right side
    315,143.64x = 49,532,739,418.37
  5. Step 5: Solve for x
    x = 49,532,739,418.37/315,143.64
  6. Step 6: Final answer
    x = 157,175.12

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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.