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Finding the Fourth Proportional to 209,854.80, 314,666.78 and 143,370

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Solution

The fourth proportional to 209,854.80, 314,666.78 and 143,370 is: 214,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.80 : 314,666.78 = 143,370 : x
  2. Step 2: Convert to fraction form
    209,854.80/314,666.78 = 143,370/x
  3. Step 3: Cross multiply
    209,854.80x = 314,666.78 × 143,370
  4. Step 4: Simplify right side
    209,854.80x = 45,113,775,531.75
  5. Step 5: Solve for x
    x = 45,113,775,531.75/209,854.80
  6. Step 6: Final answer
    x = 214,976.14

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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.