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Finding the Fourth Proportional to 315,014.64, 472,523.66 and 78,357.32

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Solution

The fourth proportional to 315,014.64, 472,523.66 and 78,357.32 is: 117,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,014.64 : 472,523.66 = 78,357.32 : x
  2. Step 2: Convert to fraction form
    315,014.64/472,523.66 = 78,357.32/x
  3. Step 3: Cross multiply
    315,014.64x = 472,523.66 × 78,357.32
  4. Step 4: Simplify right side
    315,014.64x = 37,025,687,634.19
  5. Step 5: Solve for x
    x = 37,025,687,634.19/315,014.64
  6. Step 6: Final answer
    x = 117,536.40

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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.