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Finding the Fourth Proportional to 470,346.12, 648,828.78 and 297,959.94

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Solution

The fourth proportional to 470,346.12, 648,828.78 and 297,959.94 is: 411,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,346.12 : 648,828.78 = 297,959.94 : x
  2. Step 2: Convert to fraction form
    470,346.12/648,828.78 = 297,959.94/x
  3. Step 3: Cross multiply
    470,346.12x = 648,828.78 × 297,959.94
  4. Step 4: Simplify right side
    470,346.12x = 193,324,984,359.07
  5. Step 5: Solve for x
    x = 193,324,984,359.07/470,346.12
  6. Step 6: Final answer
    x = 411,027.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.