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Finding the Fourth Proportional to 522,498, 785,518.67 and 417,226.76

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Solution

The fourth proportional to 522,498, 785,518.67 and 417,226.76 is: 627,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,498 : 785,518.67 = 417,226.76 : x
  2. Step 2: Convert to fraction form
    522,498/785,518.67 = 417,226.76/x
  3. Step 3: Cross multiply
    522,498x = 785,518.67 × 417,226.76
  4. Step 4: Simplify right side
    522,498x = 327,739,409,603.61
  5. Step 5: Solve for x
    x = 327,739,409,603.61/522,498
  6. Step 6: Final answer
    x = 627,254.86

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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.