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Finding the Fourth Proportional to 284,655, 392,720.04 and 219,263.64

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Solution

The fourth proportional to 284,655, 392,720.04 and 219,263.64 is: 302,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,655 : 392,720.04 = 219,263.64 : x
  2. Step 2: Convert to fraction form
    284,655/392,720.04 = 219,263.64/x
  3. Step 3: Cross multiply
    284,655x = 392,720.04 × 219,263.64
  4. Step 4: Simplify right side
    284,655x = 86,109,225,471.35
  5. Step 5: Solve for x
    x = 86,109,225,471.35/284,655
  6. Step 6: Final answer
    x = 302,503.82

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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.