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Finding the Fourth Proportional to 510,422, 765,695.52 and 173,518.16

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Solution

The fourth proportional to 510,422, 765,695.52 and 173,518.16 is: 260,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,422 : 765,695.52 = 173,518.16 : x
  2. Step 2: Convert to fraction form
    510,422/765,695.52 = 173,518.16/x
  3. Step 3: Cross multiply
    510,422x = 765,695.52 × 173,518.16
  4. Step 4: Simplify right side
    510,422x = 132,862,077,750.64
  5. Step 5: Solve for x
    x = 132,862,077,750.64/510,422
  6. Step 6: Final answer
    x = 260,298.49

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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.