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Finding the Fourth Proportional to 284,048.48, 392,128.95 and 176,653.12

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Solution

The fourth proportional to 284,048.48, 392,128.95 and 176,653.12 is: 243,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,048.48 : 392,128.95 = 176,653.12 : x
  2. Step 2: Convert to fraction form
    284,048.48/392,128.95 = 176,653.12/x
  3. Step 3: Cross multiply
    284,048.48x = 392,128.95 × 176,653.12
  4. Step 4: Simplify right side
    284,048.48x = 69,270,800,499.18
  5. Step 5: Solve for x
    x = 69,270,800,499.18/284,048.48
  6. Step 6: Final answer
    x = 243,869.64

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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.