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Finding the Fourth Proportional to 403,412.60, 606,431.10 and 285,897.80

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Solution

The fourth proportional to 403,412.60, 606,431.10 and 285,897.80 is: 429,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,412.60 : 606,431.10 = 285,897.80 : x
  2. Step 2: Convert to fraction form
    403,412.60/606,431.10 = 285,897.80/x
  3. Step 3: Cross multiply
    403,412.60x = 606,431.10 × 285,897.80
  4. Step 4: Simplify right side
    403,412.60x = 173,377,317,341.58
  5. Step 5: Solve for x
    x = 173,377,317,341.58/403,412.60
  6. Step 6: Final answer
    x = 429,776.65

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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.