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Finding the Fourth Proportional to 472,221.90, 651,647.16 and 257,357.34

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Solution

The fourth proportional to 472,221.90, 651,647.16 and 257,357.34 is: 355,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,221.90 : 651,647.16 = 257,357.34 : x
  2. Step 2: Convert to fraction form
    472,221.90/651,647.16 = 257,357.34/x
  3. Step 3: Cross multiply
    472,221.90x = 651,647.16 × 257,357.34
  4. Step 4: Simplify right side
    472,221.90x = 167,706,179,716.15
  5. Step 5: Solve for x
    x = 167,706,179,716.15/472,221.90
  6. Step 6: Final answer
    x = 355,142.74

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1.5x scale

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.