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Finding the Fourth Proportional to 507,400.62, 700,156.35 and 280,989.42

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Solution

The fourth proportional to 507,400.62, 700,156.35 and 280,989.42 is: 387,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,400.62 : 700,156.35 = 280,989.42 : x
  2. Step 2: Convert to fraction form
    507,400.62/700,156.35 = 280,989.42/x
  3. Step 3: Cross multiply
    507,400.62x = 700,156.35 × 280,989.42
  4. Step 4: Simplify right side
    507,400.62x = 196,736,526,695.82
  5. Step 5: Solve for x
    x = 196,736,526,695.82/507,400.62
  6. Step 6: Final answer
    x = 387,734.11

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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.