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Finding the Fourth Proportional to 528,236.62, 728,961.17 and 286,514

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Solution

The fourth proportional to 528,236.62, 728,961.17 and 286,514 is: 395,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,236.62 : 728,961.17 = 286,514 : x
  2. Step 2: Convert to fraction form
    528,236.62/728,961.17 = 286,514/x
  3. Step 3: Cross multiply
    528,236.62x = 728,961.17 × 286,514
  4. Step 4: Simplify right side
    528,236.62x = 208,857,580,661.38
  5. Step 5: Solve for x
    x = 208,857,580,661.38/528,236.62
  6. Step 6: Final answer
    x = 395,386.41

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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.