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Finding the Fourth Proportional to 256,608,133.80, 384,912,200.70 and 249,049,861.80

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Solution

The fourth proportional to 256,608,133.80, 384,912,200.70 and 249,049,861.80 is: 373,574,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,608,133.80 : 384,912,200.70 = 249,049,861.80 : x
  2. Step 2: Convert to fraction form
    256,608,133.80/384,912,200.70 = 249,049,861.80/x
  3. Step 3: Cross multiply
    256,608,133.80x = 384,912,200.70 × 249,049,861.80
  4. Step 4: Simplify right side
    256,608,133.80x = 95,862,330,389,468,864
  5. Step 5: Solve for x
    x = 95,862,330,389,468,864/256,608,133.80
  6. Step 6: Final answer
    x = 373,574,792.70

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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.