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Finding the Fourth Proportional to 489,659,780.80, 734,318,210.40 and 144,522,020.80

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Solution

The fourth proportional to 489,659,780.80, 734,318,210.40 and 144,522,020.80 is: 216,732,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,659,780.80 : 734,318,210.40 = 144,522,020.80 : x
  2. Step 2: Convert to fraction form
    489,659,780.80/734,318,210.40 = 144,522,020.80/x
  3. Step 3: Cross multiply
    489,659,780.80x = 734,318,210.40 × 144,522,020.80
  4. Step 4: Simplify right side
    489,659,780.80x = 106,125,151,677,247,584
  5. Step 5: Solve for x
    x = 106,125,151,677,247,584/489,659,780.80
  6. Step 6: Final answer
    x = 216,732,424.92

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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.