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Finding the Fourth Proportional to 289,728,437.70, 434,592,656.55 and 197,895,432.90

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Solution

The fourth proportional to 289,728,437.70, 434,592,656.55 and 197,895,432.90 is: 296,843,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,728,437.70 : 434,592,656.55 = 197,895,432.90 : x
  2. Step 2: Convert to fraction form
    289,728,437.70/434,592,656.55 = 197,895,432.90/x
  3. Step 3: Cross multiply
    289,728,437.70x = 434,592,656.55 × 197,895,432.90
  4. Step 4: Simplify right side
    289,728,437.70x = 86,003,901,903,123,280
  5. Step 5: Solve for x
    x = 86,003,901,903,123,280/289,728,437.70
  6. Step 6: Final answer
    x = 296,843,149.35

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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.