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Finding the Fourth Proportional to 282,431.77, 390,009 and 210,687.24

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Solution

The fourth proportional to 282,431.77, 390,009 and 210,687.24 is: 290,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,431.77 : 390,009 = 210,687.24 : x
  2. Step 2: Convert to fraction form
    282,431.77/390,009 = 210,687.24/x
  3. Step 3: Cross multiply
    282,431.77x = 390,009 × 210,687.24
  4. Step 4: Simplify right side
    282,431.77x = 82,169,919,785.16
  5. Step 5: Solve for x
    x = 82,169,919,785.16/282,431.77
  6. Step 6: Final answer
    x = 290,937.24

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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.