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Finding the Fourth Proportional to 313,696,649.60, 470,114,502.48 and 198,474,927.20

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Solution

The fourth proportional to 313,696,649.60, 470,114,502.48 and 198,474,927.20 is: 297,440,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,696,649.60 : 470,114,502.48 = 198,474,927.20 : x
  2. Step 2: Convert to fraction form
    313,696,649.60/470,114,502.48 = 198,474,927.20/x
  3. Step 3: Cross multiply
    313,696,649.60x = 470,114,502.48 × 198,474,927.20
  4. Step 4: Simplify right side
    313,696,649.60x = 93,305,941,655,382,224
  5. Step 5: Solve for x
    x = 93,305,941,655,382,224/313,696,649.60
  6. Step 6: Final answer
    x = 297,440,032.51

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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.