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Finding the Fourth Proportional to 282,837.69, 390,322.69 and 153,783.54

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Solution

The fourth proportional to 282,837.69, 390,322.69 and 153,783.54 is: 212,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,837.69 : 390,322.69 = 153,783.54 : x
  2. Step 2: Convert to fraction form
    282,837.69/390,322.69 = 153,783.54/x
  3. Step 3: Cross multiply
    282,837.69x = 390,322.69 × 153,783.54
  4. Step 4: Simplify right side
    282,837.69x = 60,025,204,626.06
  5. Step 5: Solve for x
    x = 60,025,204,626.06/282,837.69
  6. Step 6: Final answer
    x = 212,224.91

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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.