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Finding the Fourth Proportional to 665,224.86, 918,009.94 and 359,301.08

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Solution

The fourth proportional to 665,224.86, 918,009.94 and 359,301.08 is: 495,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,224.86 : 918,009.94 = 359,301.08 : x
  2. Step 2: Convert to fraction form
    665,224.86/918,009.94 = 359,301.08/x
  3. Step 3: Cross multiply
    665,224.86x = 918,009.94 × 359,301.08
  4. Step 4: Simplify right side
    665,224.86x = 329,841,962,892.74
  5. Step 5: Solve for x
    x = 329,841,962,892.74/665,224.86
  6. Step 6: Final answer
    x = 495,835.29

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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.