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Finding the Fourth Proportional to 209,265.20, 313,897.80 and 138,916.40

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Solution

The fourth proportional to 209,265.20, 313,897.80 and 138,916.40 is: 208,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,265.20 : 313,897.80 = 138,916.40 : x
  2. Step 2: Convert to fraction form
    209,265.20/313,897.80 = 138,916.40/x
  3. Step 3: Cross multiply
    209,265.20x = 313,897.80 × 138,916.40
  4. Step 4: Simplify right side
    209,265.20x = 43,605,552,343.92
  5. Step 5: Solve for x
    x = 43,605,552,343.92/209,265.20
  6. Step 6: Final answer
    x = 208,374.60

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1.5x scale

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.