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Finding the Fourth Proportional to 386,716.60, 581,630.10 and 346,281.40

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Solution

The fourth proportional to 386,716.60, 581,630.10 and 346,281.40 is: 520,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,716.60 : 581,630.10 = 346,281.40 : x
  2. Step 2: Convert to fraction form
    386,716.60/581,630.10 = 346,281.40/x
  3. Step 3: Cross multiply
    386,716.60x = 581,630.10 × 346,281.40
  4. Step 4: Simplify right side
    386,716.60x = 201,407,685,310.14
  5. Step 5: Solve for x
    x = 201,407,685,310.14/386,716.60
  6. Step 6: Final answer
    x = 520,814.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.