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Finding the Fourth Proportional to 287,769,169.80, 431,559,276.30 and 105,992,728.20

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Solution

The fourth proportional to 287,769,169.80, 431,559,276.30 and 105,992,728.20 is: 158,954,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,769,169.80 : 431,559,276.30 = 105,992,728.20 : x
  2. Step 2: Convert to fraction form
    287,769,169.80/431,559,276.30 = 105,992,728.20/x
  3. Step 3: Cross multiply
    287,769,169.80x = 431,559,276.30 × 105,992,728.20
  4. Step 4: Simplify right side
    287,769,169.80x = 45,742,145,075,054,608
  5. Step 5: Solve for x
    x = 45,742,145,075,054,608/287,769,169.80
  6. Step 6: Final answer
    x = 158,954,293.49

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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.