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Finding the Fourth Proportional to 225,602.07, 311,214.40 and 152,980.40

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Solution

The fourth proportional to 225,602.07, 311,214.40 and 152,980.40 is: 211,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,602.07 : 311,214.40 = 152,980.40 : x
  2. Step 2: Convert to fraction form
    225,602.07/311,214.40 = 152,980.40/x
  3. Step 3: Cross multiply
    225,602.07x = 311,214.40 × 152,980.40
  4. Step 4: Simplify right side
    225,602.07x = 47,609,704,388.64
  5. Step 5: Solve for x
    x = 47,609,704,388.64/225,602.07
  6. Step 6: Final answer
    x = 211,033.98

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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.