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Finding the Fourth Proportional to 507,638.88, 700,542 and 281,288.16

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Solution

The fourth proportional to 507,638.88, 700,542 and 281,288.16 is: 388,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,638.88 : 700,542 = 281,288.16 : x
  2. Step 2: Convert to fraction form
    507,638.88/700,542 = 281,288.16/x
  3. Step 3: Cross multiply
    507,638.88x = 700,542 × 281,288.16
  4. Step 4: Simplify right side
    507,638.88x = 197,054,170,182.72
  5. Step 5: Solve for x
    x = 197,054,170,182.72/507,638.88
  6. Step 6: Final answer
    x = 388,177.85

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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.