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Finding the Fourth Proportional to 510,872.76, 705,026.28 and 284,518.26

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Solution

The fourth proportional to 510,872.76, 705,026.28 and 284,518.26 is: 392,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,872.76 : 705,026.28 = 284,518.26 : x
  2. Step 2: Convert to fraction form
    510,872.76/705,026.28 = 284,518.26/x
  3. Step 3: Cross multiply
    510,872.76x = 705,026.28 × 284,518.26
  4. Step 4: Simplify right side
    510,872.76x = 200,592,850,439.87
  5. Step 5: Solve for x
    x = 200,592,850,439.87/510,872.76
  6. Step 6: Final answer
    x = 392,647.38

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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.