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Finding the Fourth Proportional to 524,588.80, 785,716.80 and 405,875.20

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Solution

The fourth proportional to 524,588.80, 785,716.80 and 405,875.20 is: 607,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,588.80 : 785,716.80 = 405,875.20 : x
  2. Step 2: Convert to fraction form
    524,588.80/785,716.80 = 405,875.20/x
  3. Step 3: Cross multiply
    524,588.80x = 785,716.80 × 405,875.20
  4. Step 4: Simplify right side
    524,588.80x = 318,902,963,343.36
  5. Step 5: Solve for x
    x = 318,902,963,343.36/524,588.80
  6. Step 6: Final answer
    x = 607,910.35

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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.