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Finding the Fourth Proportional to 510,454, 765,622.62 and 136,506.16

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Solution

The fourth proportional to 510,454, 765,622.62 and 136,506.16 is: 204,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,454 : 765,622.62 = 136,506.16 : x
  2. Step 2: Convert to fraction form
    510,454/765,622.62 = 136,506.16/x
  3. Step 3: Cross multiply
    510,454x = 765,622.62 × 136,506.16
  4. Step 4: Simplify right side
    510,454x = 104,512,203,865.34
  5. Step 5: Solve for x
    x = 104,512,203,865.34/510,454
  6. Step 6: Final answer
    x = 204,743.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.