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Finding the Fourth Proportional to 284,390.64, 392,455.80 and 155,328.48

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Solution

The fourth proportional to 284,390.64, 392,455.80 and 155,328.48 is: 214,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,390.64 : 392,455.80 = 155,328.48 : x
  2. Step 2: Convert to fraction form
    284,390.64/392,455.80 = 155,328.48/x
  3. Step 3: Cross multiply
    284,390.64x = 392,455.80 × 155,328.48
  4. Step 4: Simplify right side
    284,390.64x = 60,959,562,881.18
  5. Step 5: Solve for x
    x = 60,959,562,881.18/284,390.64
  6. Step 6: Final answer
    x = 214,351.51

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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.