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Finding the Fourth Proportional to 328,907.78, 493,275.27 and 141,877.70

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Solution

The fourth proportional to 328,907.78, 493,275.27 and 141,877.70 is: 212,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,907.78 : 493,275.27 = 141,877.70 : x
  2. Step 2: Convert to fraction form
    328,907.78/493,275.27 = 141,877.70/x
  3. Step 3: Cross multiply
    328,907.78x = 493,275.27 × 141,877.70
  4. Step 4: Simplify right side
    328,907.78x = 69,984,760,774.48
  5. Step 5: Solve for x
    x = 69,984,760,774.48/328,907.78
  6. Step 6: Final answer
    x = 212,779.28

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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.