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Finding the Fourth Proportional to 507,872.16, 761,969.16 and 305,689.68

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Solution

The fourth proportional to 507,872.16, 761,969.16 and 305,689.68 is: 458,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,872.16 : 761,969.16 = 305,689.68 : x
  2. Step 2: Convert to fraction form
    507,872.16/761,969.16 = 305,689.68/x
  3. Step 3: Cross multiply
    507,872.16x = 761,969.16 × 305,689.68
  4. Step 4: Simplify right side
    507,872.16x = 232,926,108,690.27
  5. Step 5: Solve for x
    x = 232,926,108,690.27/507,872.16
  6. Step 6: Final answer
    x = 458,631.38

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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.