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Finding the Fourth Proportional to 409,661.64, 565,176.96 and 302,488.92

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Solution

The fourth proportional to 409,661.64, 565,176.96 and 302,488.92 is: 417,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,661.64 : 565,176.96 = 302,488.92 : x
  2. Step 2: Convert to fraction form
    409,661.64/565,176.96 = 302,488.92/x
  3. Step 3: Cross multiply
    409,661.64x = 565,176.96 × 302,488.92
  4. Step 4: Simplify right side
    409,661.64x = 170,959,768,239.28
  5. Step 5: Solve for x
    x = 170,959,768,239.28/409,661.64
  6. Step 6: Final answer
    x = 417,319.44

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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.