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Finding the Fourth Proportional to 418,635.81, 577,881.74 and 296,765.18

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Solution

The fourth proportional to 418,635.81, 577,881.74 and 296,765.18 is: 409,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,635.81 : 577,881.74 = 296,765.18 : x
  2. Step 2: Convert to fraction form
    418,635.81/577,881.74 = 296,765.18/x
  3. Step 3: Cross multiply
    418,635.81x = 577,881.74 × 296,765.18
  4. Step 4: Simplify right side
    418,635.81x = 171,495,178,589.81
  5. Step 5: Solve for x
    x = 171,495,178,589.81/418,635.81
  6. Step 6: Final answer
    x = 409,652.43

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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.