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Finding the Fourth Proportional to 340,949.88, 470,337.90 and 260,237.28

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Solution

The fourth proportional to 340,949.88, 470,337.90 and 260,237.28 is: 358,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,949.88 : 470,337.90 = 260,237.28 : x
  2. Step 2: Convert to fraction form
    340,949.88/470,337.90 = 260,237.28/x
  3. Step 3: Cross multiply
    340,949.88x = 470,337.90 × 260,237.28
  4. Step 4: Simplify right side
    340,949.88x = 122,399,455,776.91
  5. Step 5: Solve for x
    x = 122,399,455,776.91/340,949.88
  6. Step 6: Final answer
    x = 358,995.45

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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.