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Finding the Fourth Proportional to 288,866,632.80, 433,048,006.80 and 173,896,917.60

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Solution

The fourth proportional to 288,866,632.80, 433,048,006.80 and 173,896,917.60 is: 260,693,707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,866,632.80 : 433,048,006.80 = 173,896,917.60 : x
  2. Step 2: Convert to fraction form
    288,866,632.80/433,048,006.80 = 173,896,917.60/x
  3. Step 3: Cross multiply
    288,866,632.80x = 433,048,006.80 × 173,896,917.60
  4. Step 4: Simplify right side
    288,866,632.80x = 75,305,713,555,343,840
  5. Step 5: Solve for x
    x = 75,305,713,555,343,840/288,866,632.80
  6. Step 6: Final answer
    x = 260,693,707.77

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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.