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Finding the Fourth Proportional to 472,171.08, 708,255.48 and 147,984

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Solution

The fourth proportional to 472,171.08, 708,255.48 and 147,984 is: 221,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,171.08 : 708,255.48 = 147,984 : x
  2. Step 2: Convert to fraction form
    472,171.08/708,255.48 = 147,984/x
  3. Step 3: Cross multiply
    472,171.08x = 708,255.48 × 147,984
  4. Step 4: Simplify right side
    472,171.08x = 104,810,478,952.32
  5. Step 5: Solve for x
    x = 104,810,478,952.32/472,171.08
  6. Step 6: Final answer
    x = 221,975.64

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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.