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Finding the Fourth Proportional to 308,903,002.90, 463,347,419.55 and 155,507,866.90

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Solution

The fourth proportional to 308,903,002.90, 463,347,419.55 and 155,507,866.90 is: 233,258,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,903,002.90 : 463,347,419.55 = 155,507,866.90 : x
  2. Step 2: Convert to fraction form
    308,903,002.90/463,347,419.55 = 155,507,866.90/x
  3. Step 3: Cross multiply
    308,903,002.90x = 463,347,419.55 × 155,507,866.90
  4. Step 4: Simplify right side
    308,903,002.90x = 72,054,168,847,839,864
  5. Step 5: Solve for x
    x = 72,054,168,847,839,864/308,903,002.90
  6. Step 6: Final answer
    x = 233,258,233.72

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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.