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Finding the Fourth Proportional to 288,866,608.80, 433,047,970.80 and 173,896,893.60

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Solution

The fourth proportional to 288,866,608.80, 433,047,970.80 and 173,896,893.60 is: 260,693,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,866,608.80 : 433,047,970.80 = 173,896,893.60 : x
  2. Step 2: Convert to fraction form
    288,866,608.80/433,047,970.80 = 173,896,893.60/x
  3. Step 3: Cross multiply
    288,866,608.80x = 433,047,970.80 × 173,896,893.60
  4. Step 4: Simplify right side
    288,866,608.80x = 75,305,696,901,903,504
  5. Step 5: Solve for x
    x = 75,305,696,901,903,504/288,866,608.80
  6. Step 6: Final answer
    x = 260,693,671.78

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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.