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Finding the Fourth Proportional to 284,054.56, 391,995.02 and 156,730.16

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Solution

The fourth proportional to 284,054.56, 391,995.02 and 156,730.16 is: 216,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,054.56 : 391,995.02 = 156,730.16 : x
  2. Step 2: Convert to fraction form
    284,054.56/391,995.02 = 156,730.16/x
  3. Step 3: Cross multiply
    284,054.56x = 391,995.02 × 156,730.16
  4. Step 4: Simplify right side
    284,054.56x = 61,437,442,203.80
  5. Step 5: Solve for x
    x = 61,437,442,203.80/284,054.56
  6. Step 6: Final answer
    x = 216,287.47

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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.