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Finding the Fourth Proportional to 340,947.88, 470,335.14 and 260,235.28

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Solution

The fourth proportional to 340,947.88, 470,335.14 and 260,235.28 is: 358,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,947.88 : 470,335.14 = 260,235.28 : x
  2. Step 2: Convert to fraction form
    340,947.88/470,335.14 = 260,235.28/x
  3. Step 3: Cross multiply
    340,947.88x = 470,335.14 × 260,235.28
  4. Step 4: Simplify right side
    340,947.88x = 122,397,796,851.74
  5. Step 5: Solve for x
    x = 122,397,796,851.74/340,947.88
  6. Step 6: Final answer
    x = 358,992.69

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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.