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Finding the Fourth Proportional to 219,502, 328,832.28 and 130,486

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Solution

The fourth proportional to 219,502, 328,832.28 and 130,486 is: 195,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,502 : 328,832.28 = 130,486 : x
  2. Step 2: Convert to fraction form
    219,502/328,832.28 = 130,486/x
  3. Step 3: Cross multiply
    219,502x = 328,832.28 × 130,486
  4. Step 4: Simplify right side
    219,502x = 42,908,008,888.08
  5. Step 5: Solve for x
    x = 42,908,008,888.08/219,502
  6. Step 6: Final answer
    x = 195,478.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.