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Finding the Fourth Proportional to 331,931.61, 497,897.72 and 142,268.90

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Solution

The fourth proportional to 331,931.61, 497,897.72 and 142,268.90 is: 213,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,931.61 : 497,897.72 = 142,268.90 : x
  2. Step 2: Convert to fraction form
    331,931.61/497,897.72 = 142,268.90/x
  3. Step 3: Cross multiply
    331,931.61x = 497,897.72 × 142,268.90
  4. Step 4: Simplify right side
    331,931.61x = 70,835,357,736.07
  5. Step 5: Solve for x
    x = 70,835,357,736.07/331,931.61
  6. Step 6: Final answer
    x = 213,403.47

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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.