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Finding the Fourth Proportional to 309,204,881.60, 463,863,309.60 and 155,464,030.40

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Solution

The fourth proportional to 309,204,881.60, 463,863,309.60 and 155,464,030.40 is: 233,224,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,204,881.60 : 463,863,309.60 = 155,464,030.40 : x
  2. Step 2: Convert to fraction form
    309,204,881.60/463,863,309.60 = 155,464,030.40/x
  3. Step 3: Cross multiply
    309,204,881.60x = 463,863,309.60 × 155,464,030.40
  4. Step 4: Simplify right side
    309,204,881.60x = 72,114,059,665,099,024
  5. Step 5: Solve for x
    x = 72,114,059,665,099,024/309,204,881.60
  6. Step 6: Final answer
    x = 233,224,195.21

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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.