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Finding the Fourth Proportional to 211,284.36, 316,212.12 and 205,598.16

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Solution

The fourth proportional to 211,284.36, 316,212.12 and 205,598.16 is: 307,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,284.36 : 316,212.12 = 205,598.16 : x
  2. Step 2: Convert to fraction form
    211,284.36/316,212.12 = 205,598.16/x
  3. Step 3: Cross multiply
    211,284.36x = 316,212.12 × 205,598.16
  4. Step 4: Simplify right side
    211,284.36x = 65,012,630,041.70
  5. Step 5: Solve for x
    x = 65,012,630,041.70/211,284.36
  6. Step 6: Final answer
    x = 307,702.05

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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.