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Finding the Fourth Proportional to 451,381.47, 622,925.52 and 257,821.02

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Solution

The fourth proportional to 451,381.47, 622,925.52 and 257,821.02 is: 355,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,381.47 : 622,925.52 = 257,821.02 : x
  2. Step 2: Convert to fraction form
    451,381.47/622,925.52 = 257,821.02/x
  3. Step 3: Cross multiply
    451,381.47x = 622,925.52 × 257,821.02
  4. Step 4: Simplify right side
    451,381.47x = 160,603,292,950.43
  5. Step 5: Solve for x
    x = 160,603,292,950.43/451,381.47
  6. Step 6: Final answer
    x = 355,803.91

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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.