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Finding the Fourth Proportional to 282,721.64, 390,212.60 and 167,978.20

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Solution

The fourth proportional to 282,721.64, 390,212.60 and 167,978.20 is: 231,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,721.64 : 390,212.60 = 167,978.20 : x
  2. Step 2: Convert to fraction form
    282,721.64/390,212.60 = 167,978.20/x
  3. Step 3: Cross multiply
    282,721.64x = 390,212.60 × 167,978.20
  4. Step 4: Simplify right side
    282,721.64x = 65,547,210,165.32
  5. Step 5: Solve for x
    x = 65,547,210,165.32/282,721.64
  6. Step 6: Final answer
    x = 231,843.63

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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.