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Finding the Fourth Proportional to 442,674,689.60, 664,111,567.20 and 135,980,955.20

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Solution

The fourth proportional to 442,674,689.60, 664,111,567.20 and 135,980,955.20 is: 204,002,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,674,689.60 : 664,111,567.20 = 135,980,955.20 : x
  2. Step 2: Convert to fraction form
    442,674,689.60/664,111,567.20 = 135,980,955.20/x
  3. Step 3: Cross multiply
    442,674,689.60x = 664,111,567.20 × 135,980,955.20
  4. Step 4: Simplify right side
    442,674,689.60x = 90,306,525,267,224,992
  5. Step 5: Solve for x
    x = 90,306,525,267,224,992/442,674,689.60
  6. Step 6: Final answer
    x = 204,002,007.32

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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.