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Finding the Fourth Proportional to 407,655.86, 611,592.23 and 141,415.94

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Solution

The fourth proportional to 407,655.86, 611,592.23 and 141,415.94 is: 212,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,655.86 : 611,592.23 = 141,415.94 : x
  2. Step 2: Convert to fraction form
    407,655.86/611,592.23 = 141,415.94/x
  3. Step 3: Cross multiply
    407,655.86x = 611,592.23 × 141,415.94
  4. Step 4: Simplify right side
    407,655.86x = 86,488,886,337.11
  5. Step 5: Solve for x
    x = 86,488,886,337.11/407,655.86
  6. Step 6: Final answer
    x = 212,161.52

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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.