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Finding the Fourth Proportional to 219,688.40, 328,841.40 and 157,480.40

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Solution

The fourth proportional to 219,688.40, 328,841.40 and 157,480.40 is: 235,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,688.40 : 328,841.40 = 157,480.40 : x
  2. Step 2: Convert to fraction form
    219,688.40/328,841.40 = 157,480.40/x
  3. Step 3: Cross multiply
    219,688.40x = 328,841.40 × 157,480.40
  4. Step 4: Simplify right side
    219,688.40x = 51,786,075,208.56
  5. Step 5: Solve for x
    x = 51,786,075,208.56/219,688.40
  6. Step 6: Final answer
    x = 235,725.12

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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.