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Finding the Fourth Proportional to 252,671.40, 378,578.84 and 152,621.36

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Solution

The fourth proportional to 252,671.40, 378,578.84 and 152,621.36 is: 228,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,671.40 : 378,578.84 = 152,621.36 : x
  2. Step 2: Convert to fraction form
    252,671.40/378,578.84 = 152,621.36/x
  3. Step 3: Cross multiply
    252,671.40x = 378,578.84 × 152,621.36
  4. Step 4: Simplify right side
    252,671.40x = 57,779,217,428.02
  5. Step 5: Solve for x
    x = 57,779,217,428.02/252,671.40
  6. Step 6: Final answer
    x = 228,673.36

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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.