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Finding the Fourth Proportional to 284,492.07, 392,604.70 and 155,438.54

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Solution

The fourth proportional to 284,492.07, 392,604.70 and 155,438.54 is: 214,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,492.07 : 392,604.70 = 155,438.54 : x
  2. Step 2: Convert to fraction form
    284,492.07/392,604.70 = 155,438.54/x
  3. Step 3: Cross multiply
    284,492.07x = 392,604.70 × 155,438.54
  4. Step 4: Simplify right side
    284,492.07x = 61,025,900,889.20
  5. Step 5: Solve for x
    x = 61,025,900,889.20/284,492.07
  6. Step 6: Final answer
    x = 214,508.27

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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.