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Finding the Fourth Proportional to 519,745.50, 717,248.80 and 281,281.50

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Solution

The fourth proportional to 519,745.50, 717,248.80 and 281,281.50 is: 388,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,745.50 : 717,248.80 = 281,281.50 : x
  2. Step 2: Convert to fraction form
    519,745.50/717,248.80 = 281,281.50/x
  3. Step 3: Cross multiply
    519,745.50x = 717,248.80 × 281,281.50
  4. Step 4: Simplify right side
    519,745.50x = 201,748,818,337.20
  5. Step 5: Solve for x
    x = 201,748,818,337.20/519,745.50
  6. Step 6: Final answer
    x = 388,168.48

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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.