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Finding the Fourth Proportional to 418,510.08, 577,670.40 and 284,451.84

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Solution

The fourth proportional to 418,510.08, 577,670.40 and 284,451.84 is: 392,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,510.08 : 577,670.40 = 284,451.84 : x
  2. Step 2: Convert to fraction form
    418,510.08/577,670.40 = 284,451.84/x
  3. Step 3: Cross multiply
    418,510.08x = 577,670.40 × 284,451.84
  4. Step 4: Simplify right side
    418,510.08x = 164,319,408,193.54
  5. Step 5: Solve for x
    x = 164,319,408,193.54/418,510.08
  6. Step 6: Final answer
    x = 392,629.51

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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.