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Finding the Fourth Proportional to 561,299.76, 841,978.80 and 280,722.24

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Solution

The fourth proportional to 561,299.76, 841,978.80 and 280,722.24 is: 421,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,299.76 : 841,978.80 = 280,722.24 : x
  2. Step 2: Convert to fraction form
    561,299.76/841,978.80 = 280,722.24/x
  3. Step 3: Cross multiply
    561,299.76x = 841,978.80 × 280,722.24
  4. Step 4: Simplify right side
    561,299.76x = 236,362,174,768.51
  5. Step 5: Solve for x
    x = 236,362,174,768.51/561,299.76
  6. Step 6: Final answer
    x = 421,097.94

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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.