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Finding the Fourth Proportional to 448,752.96, 619,319.52 and 312,984

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Solution

The fourth proportional to 448,752.96, 619,319.52 and 312,984 is: 431,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,752.96 : 619,319.52 = 312,984 : x
  2. Step 2: Convert to fraction form
    448,752.96/619,319.52 = 312,984/x
  3. Step 3: Cross multiply
    448,752.96x = 619,319.52 × 312,984
  4. Step 4: Simplify right side
    448,752.96x = 193,837,100,647.68
  5. Step 5: Solve for x
    x = 193,837,100,647.68/448,752.96
  6. Step 6: Final answer
    x = 431,946.12

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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.