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Finding the Fourth Proportional to 306,405.47, 422,666.87 and 183,866.15

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Solution

The fourth proportional to 306,405.47, 422,666.87 and 183,866.15 is: 253,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,405.47 : 422,666.87 = 183,866.15 : x
  2. Step 2: Convert to fraction form
    306,405.47/422,666.87 = 183,866.15/x
  3. Step 3: Cross multiply
    306,405.47x = 422,666.87 × 183,866.15
  4. Step 4: Simplify right side
    306,405.47x = 77,714,129,200.12
  5. Step 5: Solve for x
    x = 77,714,129,200.12/306,405.47
  6. Step 6: Final answer
    x = 253,631.66

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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.