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Finding the Fourth Proportional to 559,769.69, 771,871.70 and 378,166.29

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Solution

The fourth proportional to 559,769.69, 771,871.70 and 378,166.29 is: 521,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,769.69 : 771,871.70 = 378,166.29 : x
  2. Step 2: Convert to fraction form
    559,769.69/771,871.70 = 378,166.29/x
  3. Step 3: Cross multiply
    559,769.69x = 771,871.70 × 378,166.29
  4. Step 4: Simplify right side
    559,769.69x = 291,895,858,090.41
  5. Step 5: Solve for x
    x = 291,895,858,090.41/559,769.69
  6. Step 6: Final answer
    x = 521,457.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.