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Finding the Fourth Proportional to 365,187,051.60, 503,664,279.44 and 321,039,657.20

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Solution

The fourth proportional to 365,187,051.60, 503,664,279.44 and 321,039,657.20 is: 442,776,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,187,051.60 : 503,664,279.44 = 321,039,657.20 : x
  2. Step 2: Convert to fraction form
    365,187,051.60/503,664,279.44 = 321,039,657.20/x
  3. Step 3: Cross multiply
    365,187,051.60x = 503,664,279.44 × 321,039,657.20
  4. Step 4: Simplify right side
    365,187,051.60x = 161,696,207,615,302,592
  5. Step 5: Solve for x
    x = 161,696,207,615,302,592/365,187,051.60
  6. Step 6: Final answer
    x = 442,776,398.85

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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.