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Finding the Fourth Proportional to 331,504.90, 497,257.35 and 286,404.10

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Solution

The fourth proportional to 331,504.90, 497,257.35 and 286,404.10 is: 429,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,504.90 : 497,257.35 = 286,404.10 : x
  2. Step 2: Convert to fraction form
    331,504.90/497,257.35 = 286,404.10/x
  3. Step 3: Cross multiply
    331,504.90x = 497,257.35 × 286,404.10
  4. Step 4: Simplify right side
    331,504.90x = 142,416,543,795.14
  5. Step 5: Solve for x
    x = 142,416,543,795.14/331,504.90
  6. Step 6: Final answer
    x = 429,606.15

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1.5x scale

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.