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Finding the Fourth Proportional to 308,961,329.60, 463,740,592.80 and 155,780,350.40

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Solution

The fourth proportional to 308,961,329.60, 463,740,592.80 and 155,780,350.40 is: 233,821,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,961,329.60 : 463,740,592.80 = 155,780,350.40 : x
  2. Step 2: Convert to fraction form
    308,961,329.60/463,740,592.80 = 155,780,350.40/x
  3. Step 3: Cross multiply
    308,961,329.60x = 463,740,592.80 × 155,780,350.40
  4. Step 4: Simplify right side
    308,961,329.60x = 72,241,672,041,087,728
  5. Step 5: Solve for x
    x = 72,241,672,041,087,728/308,961,329.60
  6. Step 6: Final answer
    x = 233,821,080.89

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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.