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Finding the Fourth Proportional to 510,896, 705,253.50 and 363,816.20

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Solution

The fourth proportional to 510,896, 705,253.50 and 363,816.20 is: 502,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,896 : 705,253.50 = 363,816.20 : x
  2. Step 2: Convert to fraction form
    510,896/705,253.50 = 363,816.20/x
  3. Step 3: Cross multiply
    510,896x = 705,253.50 × 363,816.20
  4. Step 4: Simplify right side
    510,896x = 256,582,648,406.70
  5. Step 5: Solve for x
    x = 256,582,648,406.70/510,896
  6. Step 6: Final answer
    x = 502,220.90

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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.