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Finding the Fourth Proportional to 315,026.64, 472,541.68 and 78,369.32

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Solution

The fourth proportional to 315,026.64, 472,541.68 and 78,369.32 is: 117,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,026.64 : 472,541.68 = 78,369.32 : x
  2. Step 2: Convert to fraction form
    315,026.64/472,541.68 = 78,369.32/x
  3. Step 3: Cross multiply
    315,026.64x = 472,541.68 × 78,369.32
  4. Step 4: Simplify right side
    315,026.64x = 37,032,770,133.26
  5. Step 5: Solve for x
    x = 37,032,770,133.26/315,026.64
  6. Step 6: Final answer
    x = 117,554.41

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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.