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Finding the Fourth Proportional to 385,447.22, 578,417.61 and 208,077.74

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Solution

The fourth proportional to 385,447.22, 578,417.61 and 208,077.74 is: 312,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,447.22 : 578,417.61 = 208,077.74 : x
  2. Step 2: Convert to fraction form
    385,447.22/578,417.61 = 208,077.74/x
  3. Step 3: Cross multiply
    385,447.22x = 578,417.61 × 208,077.74
  4. Step 4: Simplify right side
    385,447.22x = 120,355,829,065.00
  5. Step 5: Solve for x
    x = 120,355,829,065.00/385,447.22
  6. Step 6: Final answer
    x = 312,249.83

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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.