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Finding the Fourth Proportional to 340,938.75, 470,697.30 and 303,108.51

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Solution

The fourth proportional to 340,938.75, 470,697.30 and 303,108.51 is: 418,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,938.75 : 470,697.30 = 303,108.51 : x
  2. Step 2: Convert to fraction form
    340,938.75/470,697.30 = 303,108.51/x
  3. Step 3: Cross multiply
    340,938.75x = 470,697.30 × 303,108.51
  4. Step 4: Simplify right side
    340,938.75x = 142,672,357,264.02
  5. Step 5: Solve for x
    x = 142,672,357,264.02/340,938.75
  6. Step 6: Final answer
    x = 418,469.17

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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.