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Finding the Fourth Proportional to 284,271.76, 392,278.12 and 155,184.48

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Solution

The fourth proportional to 284,271.76, 392,278.12 and 155,184.48 is: 214,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,271.76 : 392,278.12 = 155,184.48 : x
  2. Step 2: Convert to fraction form
    284,271.76/392,278.12 = 155,184.48/x
  3. Step 3: Cross multiply
    284,271.76x = 392,278.12 × 155,184.48
  4. Step 4: Simplify right side
    284,271.76x = 60,875,476,067.58
  5. Step 5: Solve for x
    x = 60,875,476,067.58/284,271.76
  6. Step 6: Final answer
    x = 214,145.35

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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.