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Finding the Fourth Proportional to 279,257.61, 385,382.16 and 158,407.05

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Solution

The fourth proportional to 279,257.61, 385,382.16 and 158,407.05 is: 218,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,257.61 : 385,382.16 = 158,407.05 : x
  2. Step 2: Convert to fraction form
    279,257.61/385,382.16 = 158,407.05/x
  3. Step 3: Cross multiply
    279,257.61x = 385,382.16 × 158,407.05
  4. Step 4: Simplify right side
    279,257.61x = 61,047,251,088.23
  5. Step 5: Solve for x
    x = 61,047,251,088.23/279,257.61
  6. Step 6: Final answer
    x = 218,605.51

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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.