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Finding the Fourth Proportional to 400,674.84, 552,931.20 and 219,386.74

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Solution

The fourth proportional to 400,674.84, 552,931.20 and 219,386.74 is: 302,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,674.84 : 552,931.20 = 219,386.74 : x
  2. Step 2: Convert to fraction form
    400,674.84/552,931.20 = 219,386.74/x
  3. Step 3: Cross multiply
    400,674.84x = 552,931.20 × 219,386.74
  4. Step 4: Simplify right side
    400,674.84x = 121,305,770,647.63
  5. Step 5: Solve for x
    x = 121,305,770,647.63/400,674.84
  6. Step 6: Final answer
    x = 302,753.65

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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.