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Finding the Fourth Proportional to 645,744.96, 891,128.50 and 359,265.24

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Solution

The fourth proportional to 645,744.96, 891,128.50 and 359,265.24 is: 495,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,744.96 : 891,128.50 = 359,265.24 : x
  2. Step 2: Convert to fraction form
    645,744.96/891,128.50 = 359,265.24/x
  3. Step 3: Cross multiply
    645,744.96x = 891,128.50 × 359,265.24
  4. Step 4: Simplify right side
    645,744.96x = 320,151,494,423.34
  5. Step 5: Solve for x
    x = 320,151,494,423.34/645,744.96
  6. Step 6: Final answer
    x = 495,786.28

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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.