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Finding the Fourth Proportional to 459,178.36, 688,728.66 and 159,607.96

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Solution

The fourth proportional to 459,178.36, 688,728.66 and 159,607.96 is: 239,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,178.36 : 688,728.66 = 159,607.96 : x
  2. Step 2: Convert to fraction form
    459,178.36/688,728.66 = 159,607.96/x
  3. Step 3: Cross multiply
    459,178.36x = 688,728.66 × 159,607.96
  4. Step 4: Simplify right side
    459,178.36x = 109,926,576,416.13
  5. Step 5: Solve for x
    x = 109,926,576,416.13/459,178.36
  6. Step 6: Final answer
    x = 239,398.43

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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.