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Finding the Fourth Proportional to 284,348.76, 392,401.44 and 155,289

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Solution

The fourth proportional to 284,348.76, 392,401.44 and 155,289 is: 214,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,348.76 : 392,401.44 = 155,289 : x
  2. Step 2: Convert to fraction form
    284,348.76/392,401.44 = 155,289/x
  3. Step 3: Cross multiply
    284,348.76x = 392,401.44 × 155,289
  4. Step 4: Simplify right side
    284,348.76x = 60,935,627,216.16
  5. Step 5: Solve for x
    x = 60,935,627,216.16/284,348.76
  6. Step 6: Final answer
    x = 214,298.90

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1.5x scale

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.