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Finding the Fourth Proportional to 474,963, 655,440.98 and 257,169.80

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Solution

The fourth proportional to 474,963, 655,440.98 and 257,169.80 is: 354,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,963 : 655,440.98 = 257,169.80 : x
  2. Step 2: Convert to fraction form
    474,963/655,440.98 = 257,169.80/x
  3. Step 3: Cross multiply
    474,963x = 655,440.98 × 257,169.80
  4. Step 4: Simplify right side
    474,963x = 168,559,625,738.40
  5. Step 5: Solve for x
    x = 168,559,625,738.40/474,963
  6. Step 6: Final answer
    x = 354,890.01

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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.