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Finding the Fourth Proportional to 312,886.02, 431,783.64 and 169,646.10

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Solution

The fourth proportional to 312,886.02, 431,783.64 and 169,646.10 is: 234,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,886.02 : 431,783.64 = 169,646.10 : x
  2. Step 2: Convert to fraction form
    312,886.02/431,783.64 = 169,646.10/x
  3. Step 3: Cross multiply
    312,886.02x = 431,783.64 × 169,646.10
  4. Step 4: Simplify right side
    312,886.02x = 73,250,410,569.80
  5. Step 5: Solve for x
    x = 73,250,410,569.80/312,886.02
  6. Step 6: Final answer
    x = 234,112.12

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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.