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Finding the Fourth Proportional to 479,784.82, 719,677.14 and 142,830.40

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Solution

The fourth proportional to 479,784.82, 719,677.14 and 142,830.40 is: 214,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,784.82 : 719,677.14 = 142,830.40 : x
  2. Step 2: Convert to fraction form
    479,784.82/719,677.14 = 142,830.40/x
  3. Step 3: Cross multiply
    479,784.82x = 719,677.14 × 142,830.40
  4. Step 4: Simplify right side
    479,784.82x = 102,791,773,777.06
  5. Step 5: Solve for x
    x = 102,791,773,777.06/479,784.82
  6. Step 6: Final answer
    x = 214,245.57

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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.