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Finding the Fourth Proportional to 475,862.14, 713,980.05 and 209,435.77

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Solution

The fourth proportional to 475,862.14, 713,980.05 and 209,435.77 is: 314,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,862.14 : 713,980.05 = 209,435.77 : x
  2. Step 2: Convert to fraction form
    475,862.14/713,980.05 = 209,435.77/x
  3. Step 3: Cross multiply
    475,862.14x = 713,980.05 × 209,435.77
  4. Step 4: Simplify right side
    475,862.14x = 149,532,961,536.39
  5. Step 5: Solve for x
    x = 149,532,961,536.39/475,862.14
  6. Step 6: Final answer
    x = 314,235.89

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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.