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Finding the Fourth Proportional to 510,434, 765,592.64 and 136,486.16

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Solution

The fourth proportional to 510,434, 765,592.64 and 136,486.16 is: 204,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,434 : 765,592.64 = 136,486.16 : x
  2. Step 2: Convert to fraction form
    510,434/765,592.64 = 136,486.16/x
  3. Step 3: Cross multiply
    510,434x = 765,592.64 × 136,486.16
  4. Step 4: Simplify right side
    510,434x = 104,492,799,557.86
  5. Step 5: Solve for x
    x = 104,492,799,557.86/510,434
  6. Step 6: Final answer
    x = 204,713.63

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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.