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Finding the Fourth Proportional to 284,664.08, 392,838 and 155,602.76

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Solution

The fourth proportional to 284,664.08, 392,838 and 155,602.76 is: 214,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,664.08 : 392,838 = 155,602.76 : x
  2. Step 2: Convert to fraction form
    284,664.08/392,838 = 155,602.76/x
  3. Step 3: Cross multiply
    284,664.08x = 392,838 × 155,602.76
  4. Step 4: Simplify right side
    284,664.08x = 61,126,677,032.88
  5. Step 5: Solve for x
    x = 61,126,677,032.88/284,664.08
  6. Step 6: Final answer
    x = 214,732.67

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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.