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Finding the Fourth Proportional to 280,020,562.40, 419,904,872.40 and 107,440,018.40

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Solution

The fourth proportional to 280,020,562.40, 419,904,872.40 and 107,440,018.40 is: 161,111,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,020,562.40 : 419,904,872.40 = 107,440,018.40 : x
  2. Step 2: Convert to fraction form
    280,020,562.40/419,904,872.40 = 107,440,018.40/x
  3. Step 3: Cross multiply
    280,020,562.40x = 419,904,872.40 × 107,440,018.40
  4. Step 4: Simplify right side
    280,020,562.40x = 45,114,587,216,905,656
  5. Step 5: Solve for x
    x = 45,114,587,216,905,656/280,020,562.40
  6. Step 6: Final answer
    x = 161,111,694.19

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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.