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Finding the Fourth Proportional to 520,284, 717,991.92 and 281,820

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Solution

The fourth proportional to 520,284, 717,991.92 and 281,820 is: 388,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,284 : 717,991.92 = 281,820 : x
  2. Step 2: Convert to fraction form
    520,284/717,991.92 = 281,820/x
  3. Step 3: Cross multiply
    520,284x = 717,991.92 × 281,820
  4. Step 4: Simplify right side
    520,284x = 202,344,482,894.40
  5. Step 5: Solve for x
    x = 202,344,482,894.40/520,284
  6. Step 6: Final answer
    x = 388,911.60

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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.