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Finding the Fourth Proportional to 507,617.32, 761,979.42 and 294,618.28

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Solution

The fourth proportional to 507,617.32, 761,979.42 and 294,618.28 is: 442,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,617.32 : 761,979.42 = 294,618.28 : x
  2. Step 2: Convert to fraction form
    507,617.32/761,979.42 = 294,618.28/x
  3. Step 3: Cross multiply
    507,617.32x = 761,979.42 × 294,618.28
  4. Step 4: Simplify right side
    507,617.32x = 224,493,066,115.80
  5. Step 5: Solve for x
    x = 224,493,066,115.80/507,617.32
  6. Step 6: Final answer
    x = 442,248.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.