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Finding the Fourth Proportional to 473,363,998.80, 710,045,998.20 and 279,368,350.80

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Solution

The fourth proportional to 473,363,998.80, 710,045,998.20 and 279,368,350.80 is: 419,052,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,363,998.80 : 710,045,998.20 = 279,368,350.80 : x
  2. Step 2: Convert to fraction form
    473,363,998.80/710,045,998.20 = 279,368,350.80/x
  3. Step 3: Cross multiply
    473,363,998.80x = 710,045,998.20 × 279,368,350.80
  4. Step 4: Simplify right side
    473,363,998.80x = 198,364,379,509,273,792
  5. Step 5: Solve for x
    x = 198,364,379,509,273,792/473,363,998.80
  6. Step 6: Final answer
    x = 419,052,526.20

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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.