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Finding the Fourth Proportional to 205,400.80, 307,582.80 and 134,898.40

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Solution

The fourth proportional to 205,400.80, 307,582.80 and 134,898.40 is: 202,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,400.80 : 307,582.80 = 134,898.40 : x
  2. Step 2: Convert to fraction form
    205,400.80/307,582.80 = 134,898.40/x
  3. Step 3: Cross multiply
    205,400.80x = 307,582.80 × 134,898.40
  4. Step 4: Simplify right side
    205,400.80x = 41,492,427,587.52
  5. Step 5: Solve for x
    x = 41,492,427,587.52/205,400.80
  6. Step 6: Final answer
    x = 202,007.14

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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.