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Finding the Fourth Proportional to 661,120.36, 912,341.82 and 359,314.36

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Solution

The fourth proportional to 661,120.36, 912,341.82 and 359,314.36 is: 495,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,120.36 : 912,341.82 = 359,314.36 : x
  2. Step 2: Convert to fraction form
    661,120.36/912,341.82 = 359,314.36/x
  3. Step 3: Cross multiply
    661,120.36x = 912,341.82 × 359,314.36
  4. Step 4: Simplify right side
    661,120.36x = 327,817,517,154.54
  5. Step 5: Solve for x
    x = 327,817,517,154.54/661,120.36
  6. Step 6: Final answer
    x = 495,851.49

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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.