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Finding the Fourth Proportional to 289,848,010.80, 434,772,016.20 and 289,848,010.80

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Solution

The fourth proportional to 289,848,010.80, 434,772,016.20 and 289,848,010.80 is: 434,772,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,848,010.80 : 434,772,016.20 = 289,848,010.80 : x
  2. Step 2: Convert to fraction form
    289,848,010.80/434,772,016.20 = 289,848,010.80/x
  3. Step 3: Cross multiply
    289,848,010.80x = 434,772,016.20 × 289,848,010.80
  4. Step 4: Simplify right side
    289,848,010.80x = 126,017,804,047,075,376
  5. Step 5: Solve for x
    x = 126,017,804,047,075,376/289,848,010.80
  6. Step 6: Final answer
    x = 434,772,016.20

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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.