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Finding the Fourth Proportional to 472,222.42, 651,647.96 and 257,357.87

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Solution

The fourth proportional to 472,222.42, 651,647.96 and 257,357.87 is: 355,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,222.42 : 651,647.96 = 257,357.87 : x
  2. Step 2: Convert to fraction form
    472,222.42/651,647.96 = 257,357.87/x
  3. Step 3: Cross multiply
    472,222.42x = 651,647.96 × 257,357.87
  4. Step 4: Simplify right side
    472,222.42x = 167,706,726,430.42
  5. Step 5: Solve for x
    x = 167,706,726,430.42/472,222.42
  6. Step 6: Final answer
    x = 355,143.51

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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.