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Finding the Fourth Proportional to 510,432, 765,589.64 and 136,484.16

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Solution

The fourth proportional to 510,432, 765,589.64 and 136,484.16 is: 204,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,432 : 765,589.64 = 136,484.16 : x
  2. Step 2: Convert to fraction form
    510,432/765,589.64 = 136,484.16/x
  3. Step 3: Cross multiply
    510,432x = 765,589.64 × 136,484.16
  4. Step 4: Simplify right side
    510,432x = 104,490,858,237.68
  5. Step 5: Solve for x
    x = 104,490,858,237.68/510,432
  6. Step 6: Final answer
    x = 204,710.63

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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.