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Finding the Fourth Proportional to 254,901.70, 382,644.15 and 149,779.90

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Solution

The fourth proportional to 254,901.70, 382,644.15 and 149,779.90 is: 224,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,901.70 : 382,644.15 = 149,779.90 : x
  2. Step 2: Convert to fraction form
    254,901.70/382,644.15 = 149,779.90/x
  3. Step 3: Cross multiply
    254,901.70x = 382,644.15 × 149,779.90
  4. Step 4: Simplify right side
    254,901.70x = 57,312,402,522.59
  5. Step 5: Solve for x
    x = 57,312,402,522.59/254,901.70
  6. Step 6: Final answer
    x = 224,841.19

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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.