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Finding the Fourth Proportional to 604,971.52, 907,457.28 and 161,728

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Solution

The fourth proportional to 604,971.52, 907,457.28 and 161,728 is: 242,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,971.52 : 907,457.28 = 161,728 : x
  2. Step 2: Convert to fraction form
    604,971.52/907,457.28 = 161,728/x
  3. Step 3: Cross multiply
    604,971.52x = 907,457.28 × 161,728
  4. Step 4: Simplify right side
    604,971.52x = 146,761,250,979.84
  5. Step 5: Solve for x
    x = 146,761,250,979.84/604,971.52
  6. Step 6: Final answer
    x = 242,592

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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.