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Finding the Fourth Proportional to 225,656.76, 311,547.94 and 145,224.08

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Solution

The fourth proportional to 225,656.76, 311,547.94 and 145,224.08 is: 200,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,656.76 : 311,547.94 = 145,224.08 : x
  2. Step 2: Convert to fraction form
    225,656.76/311,547.94 = 145,224.08/x
  3. Step 3: Cross multiply
    225,656.76x = 311,547.94 × 145,224.08
  4. Step 4: Simplify right side
    225,656.76x = 45,244,262,962.40
  5. Step 5: Solve for x
    x = 45,244,262,962.40/225,656.76
  6. Step 6: Final answer
    x = 200,500.37

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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.