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Finding the Fourth Proportional to 507,329.32, 700,153.86 and 280,995.88

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Solution

The fourth proportional to 507,329.32, 700,153.86 and 280,995.88 is: 387,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,329.32 : 700,153.86 = 280,995.88 : x
  2. Step 2: Convert to fraction form
    507,329.32/700,153.86 = 280,995.88/x
  3. Step 3: Cross multiply
    507,329.32x = 700,153.86 × 280,995.88
  4. Step 4: Simplify right side
    507,329.32x = 196,740,350,026.10
  5. Step 5: Solve for x
    x = 196,740,350,026.10/507,329.32
  6. Step 6: Final answer
    x = 387,796.14

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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.