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Finding the Fourth Proportional to 284,678.28, 392,864.28 and 155,623.84

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Solution

The fourth proportional to 284,678.28, 392,864.28 and 155,623.84 is: 214,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,678.28 : 392,864.28 = 155,623.84 : x
  2. Step 2: Convert to fraction form
    284,678.28/392,864.28 = 155,623.84/x
  3. Step 3: Cross multiply
    284,678.28x = 392,864.28 × 155,623.84
  4. Step 4: Simplify right side
    284,678.28x = 61,139,047,852.44
  5. Step 5: Solve for x
    x = 61,139,047,852.44/284,678.28
  6. Step 6: Final answer
    x = 214,765.41

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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.