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Finding the Fourth Proportional to 284,351.76, 392,405.58 and 155,292

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Solution

The fourth proportional to 284,351.76, 392,405.58 and 155,292 is: 214,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,351.76 : 392,405.58 = 155,292 : x
  2. Step 2: Convert to fraction form
    284,351.76/392,405.58 = 155,292/x
  3. Step 3: Cross multiply
    284,351.76x = 392,405.58 × 155,292
  4. Step 4: Simplify right side
    284,351.76x = 60,937,447,329.36
  5. Step 5: Solve for x
    x = 60,937,447,329.36/284,351.76
  6. Step 6: Final answer
    x = 214,303.04

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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.