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Finding the Fourth Proportional to 340,446.50, 469,830.75 and 189,543.50

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Solution

The fourth proportional to 340,446.50, 469,830.75 and 189,543.50 is: 261,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,446.50 : 469,830.75 = 189,543.50 : x
  2. Step 2: Convert to fraction form
    340,446.50/469,830.75 = 189,543.50/x
  3. Step 3: Cross multiply
    340,446.50x = 469,830.75 × 189,543.50
  4. Step 4: Simplify right side
    340,446.50x = 89,053,364,762.63
  5. Step 5: Solve for x
    x = 89,053,364,762.63/340,446.50
  6. Step 6: Final answer
    x = 261,578.15

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1.5x scale

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.