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Finding the Fourth Proportional to 207,411.44, 286,142.64 and 153,828.32

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Solution

The fourth proportional to 207,411.44, 286,142.64 and 153,828.32 is: 212,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,411.44 : 286,142.64 = 153,828.32 : x
  2. Step 2: Convert to fraction form
    207,411.44/286,142.64 = 153,828.32/x
  3. Step 3: Cross multiply
    207,411.44x = 286,142.64 × 153,828.32
  4. Step 4: Simplify right side
    207,411.44x = 44,016,841,591.56
  5. Step 5: Solve for x
    x = 44,016,841,591.56/207,411.44
  6. Step 6: Final answer
    x = 212,219.93

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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.