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Finding the Fourth Proportional to 340,292.94, 469,596.27 and 189,386.70

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Solution

The fourth proportional to 340,292.94, 469,596.27 and 189,386.70 is: 261,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,292.94 : 469,596.27 = 189,386.70 : x
  2. Step 2: Convert to fraction form
    340,292.94/469,596.27 = 189,386.70/x
  3. Step 3: Cross multiply
    340,292.94x = 469,596.27 × 189,386.70
  4. Step 4: Simplify right side
    340,292.94x = 88,935,287,907.61
  5. Step 5: Solve for x
    x = 88,935,287,907.61/340,292.94
  6. Step 6: Final answer
    x = 261,349.20

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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.