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Finding the Fourth Proportional to 302,752.94, 453,971.72 and 142,785.92

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Solution

The fourth proportional to 302,752.94, 453,971.72 and 142,785.92 is: 214,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,752.94 : 453,971.72 = 142,785.92 : x
  2. Step 2: Convert to fraction form
    302,752.94/453,971.72 = 142,785.92/x
  3. Step 3: Cross multiply
    302,752.94x = 453,971.72 × 142,785.92
  4. Step 4: Simplify right side
    302,752.94x = 64,820,768,559.25
  5. Step 5: Solve for x
    x = 64,820,768,559.25/302,752.94
  6. Step 6: Final answer
    x = 214,104.51

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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.