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Finding the Fourth Proportional to 535,876, 803,573.16 and 385,486

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Solution

The fourth proportional to 535,876, 803,573.16 and 385,486 is: 578,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,876 : 803,573.16 = 385,486 : x
  2. Step 2: Convert to fraction form
    535,876/803,573.16 = 385,486/x
  3. Step 3: Cross multiply
    535,876x = 803,573.16 × 385,486
  4. Step 4: Simplify right side
    535,876x = 309,766,203,155.76
  5. Step 5: Solve for x
    x = 309,766,203,155.76/535,876
  6. Step 6: Final answer
    x = 578,055.75

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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.