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Finding the Fourth Proportional to 528,561.97, 729,416 and 286,844.58

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Solution

The fourth proportional to 528,561.97, 729,416 and 286,844.58 is: 395,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,561.97 : 729,416 = 286,844.58 : x
  2. Step 2: Convert to fraction form
    528,561.97/729,416 = 286,844.58/x
  3. Step 3: Cross multiply
    528,561.97x = 729,416 × 286,844.58
  4. Step 4: Simplify right side
    528,561.97x = 209,229,026,165.28
  5. Step 5: Solve for x
    x = 209,229,026,165.28/528,561.97
  6. Step 6: Final answer
    x = 395,845.78

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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.