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Finding the Fourth Proportional to 282,773.13, 390,224.16 and 210,499.22

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Solution

The fourth proportional to 282,773.13, 390,224.16 and 210,499.22 is: 290,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,773.13 : 390,224.16 = 210,499.22 : x
  2. Step 2: Convert to fraction form
    282,773.13/390,224.16 = 210,499.22/x
  3. Step 3: Cross multiply
    282,773.13x = 390,224.16 × 210,499.22
  4. Step 4: Simplify right side
    282,773.13x = 82,141,883,070.09
  5. Step 5: Solve for x
    x = 82,141,883,070.09/282,773.13
  6. Step 6: Final answer
    x = 290,486.88

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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.