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Finding the Fourth Proportional to 472,209.89, 651,630.62 and 257,345.33

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Solution

The fourth proportional to 472,209.89, 651,630.62 and 257,345.33 is: 355,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,209.89 : 651,630.62 = 257,345.33 : x
  2. Step 2: Convert to fraction form
    472,209.89/651,630.62 = 257,345.33/x
  3. Step 3: Cross multiply
    472,209.89x = 651,630.62 × 257,345.33
  4. Step 4: Simplify right side
    472,209.89x = 167,694,094,327.22
  5. Step 5: Solve for x
    x = 167,694,094,327.22/472,209.89
  6. Step 6: Final answer
    x = 355,126.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.