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Finding the Fourth Proportional to 648,303.83, 971,668.36 and 458,819.57

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Solution

The fourth proportional to 648,303.83, 971,668.36 and 458,819.57 is: 687,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,303.83 : 971,668.36 = 458,819.57 : x
  2. Step 2: Convert to fraction form
    648,303.83/971,668.36 = 458,819.57/x
  3. Step 3: Cross multiply
    648,303.83x = 971,668.36 × 458,819.57
  4. Step 4: Simplify right side
    648,303.83x = 445,820,451,965.37
  5. Step 5: Solve for x
    x = 445,820,451,965.37/648,303.83
  6. Step 6: Final answer
    x = 687,672.10

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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.