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Finding the Fourth Proportional to 307,425,998.70, 461,138,998.05 and 277,771,590.90

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Solution

The fourth proportional to 307,425,998.70, 461,138,998.05 and 277,771,590.90 is: 416,657,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,425,998.70 : 461,138,998.05 = 277,771,590.90 : x
  2. Step 2: Convert to fraction form
    307,425,998.70/461,138,998.05 = 277,771,590.90/x
  3. Step 3: Cross multiply
    307,425,998.70x = 461,138,998.05 × 277,771,590.90
  4. Step 4: Simplify right side
    307,425,998.70x = 128,091,313,114,380,496
  5. Step 5: Solve for x
    x = 128,091,313,114,380,496/307,425,998.70
  6. Step 6: Final answer
    x = 416,657,386.35

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1.5x scale

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.