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Finding the Fourth Proportional to 660,971.28, 912,142.76 and 359,165.20

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Solution

The fourth proportional to 660,971.28, 912,142.76 and 359,165.20 is: 495,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,971.28 : 912,142.76 = 359,165.20 : x
  2. Step 2: Convert to fraction form
    660,971.28/912,142.76 = 359,165.20/x
  3. Step 3: Cross multiply
    660,971.28x = 912,142.76 × 359,165.20
  4. Step 4: Simplify right side
    660,971.28x = 327,609,936,823.95
  5. Step 5: Solve for x
    x = 327,609,936,823.95/660,971.28
  6. Step 6: Final answer
    x = 495,649.28

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Double scale
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1.5x scale

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.