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Finding the Fourth Proportional to 629,424,009.40, 944,986,319.70 and 399,841,497.40

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Solution

The fourth proportional to 629,424,009.40, 944,986,319.70 and 399,841,497.40 is: 600,302,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,424,009.40 : 944,986,319.70 = 399,841,497.40 : x
  2. Step 2: Convert to fraction form
    629,424,009.40/944,986,319.70 = 399,841,497.40/x
  3. Step 3: Cross multiply
    629,424,009.40x = 944,986,319.70 × 399,841,497.40
  4. Step 4: Simplify right side
    629,424,009.40x = 377,844,745,091,363,136
  5. Step 5: Solve for x
    x = 377,844,745,091,363,136/629,424,009.40
  6. Step 6: Final answer
    x = 600,302,402.59

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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.