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Finding the Fourth Proportional to 731,765, 1,009,810.32 and 405,092.20

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Solution

The fourth proportional to 731,765, 1,009,810.32 and 405,092.20 is: 559,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,765 : 1,009,810.32 = 405,092.20 : x
  2. Step 2: Convert to fraction form
    731,765/1,009,810.32 = 405,092.20/x
  3. Step 3: Cross multiply
    731,765x = 1,009,810.32 × 405,092.20
  4. Step 4: Simplify right side
    731,765x = 409,066,284,111.50
  5. Step 5: Solve for x
    x = 409,066,284,111.50/731,765
  6. Step 6: Final answer
    x = 559,013.19

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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.