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Finding the Fourth Proportional to 340,643.71, 470,069.47 and 187,651.82

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Solution

The fourth proportional to 340,643.71, 470,069.47 and 187,651.82 is: 258,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,643.71 : 470,069.47 = 187,651.82 : x
  2. Step 2: Convert to fraction form
    340,643.71/470,069.47 = 187,651.82/x
  3. Step 3: Cross multiply
    340,643.71x = 470,069.47 × 187,651.82
  4. Step 4: Simplify right side
    340,643.71x = 88,209,392,277.98
  5. Step 5: Solve for x
    x = 88,209,392,277.98/340,643.71
  6. Step 6: Final answer
    x = 258,949.13

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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.