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Finding the Fourth Proportional to 409,425,400.80, 614,138,101.20 and 254,457,205.20

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Solution

The fourth proportional to 409,425,400.80, 614,138,101.20 and 254,457,205.20 is: 381,685,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,425,400.80 : 614,138,101.20 = 254,457,205.20 : x
  2. Step 2: Convert to fraction form
    409,425,400.80/614,138,101.20 = 254,457,205.20/x
  3. Step 3: Cross multiply
    409,425,400.80x = 614,138,101.20 × 254,457,205.20
  4. Step 4: Simplify right side
    409,425,400.80x = 156,271,864,838,186,784
  5. Step 5: Solve for x
    x = 156,271,864,838,186,784/409,425,400.80
  6. Step 6: Final answer
    x = 381,685,807.80

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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.