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Finding the Fourth Proportional to 409,924.32, 565,678.08 and 302,455.68

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Solution

The fourth proportional to 409,924.32, 565,678.08 and 302,455.68 is: 417,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,924.32 : 565,678.08 = 302,455.68 : x
  2. Step 2: Convert to fraction form
    409,924.32/565,678.08 = 302,455.68/x
  3. Step 3: Cross multiply
    409,924.32x = 565,678.08 × 302,455.68
  4. Step 4: Simplify right side
    409,924.32x = 171,092,548,347.49
  5. Step 5: Solve for x
    x = 171,092,548,347.49/409,924.32
  6. Step 6: Final answer
    x = 417,375.94

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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.