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Finding the Fourth Proportional to 365,186,823.04, 503,663,964 and 321,039,428.80

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Solution

The fourth proportional to 365,186,823.04, 503,663,964 and 321,039,428.80 is: 442,776,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,186,823.04 : 503,663,964 = 321,039,428.80 : x
  2. Step 2: Convert to fraction form
    365,186,823.04/503,663,964 = 321,039,428.80/x
  3. Step 3: Cross multiply
    365,186,823.04x = 503,663,964 × 321,039,428.80
  4. Step 4: Simplify right side
    365,186,823.04x = 161,695,991,309,703,776
  5. Step 5: Solve for x
    x = 161,695,991,309,703,776/365,186,823.04
  6. Step 6: Final answer
    x = 442,776,083.66

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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.