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Finding the Fourth Proportional to 225,603.35, 311,428.67 and 152,031.91

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Solution

The fourth proportional to 225,603.35, 311,428.67 and 152,031.91 is: 209,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,603.35 : 311,428.67 = 152,031.91 : x
  2. Step 2: Convert to fraction form
    225,603.35/311,428.67 = 152,031.91/x
  3. Step 3: Cross multiply
    225,603.35x = 311,428.67 × 152,031.91
  4. Step 4: Simplify right side
    225,603.35x = 47,347,095,528.86
  5. Step 5: Solve for x
    x = 47,347,095,528.86/225,603.35
  6. Step 6: Final answer
    x = 209,868.76

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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.