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Finding the Fourth Proportional to 302,720.16, 417,317.40 and 211,794.42

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Solution

The fourth proportional to 302,720.16, 417,317.40 and 211,794.42 is: 291,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,720.16 : 417,317.40 = 211,794.42 : x
  2. Step 2: Convert to fraction form
    302,720.16/417,317.40 = 211,794.42/x
  3. Step 3: Cross multiply
    302,720.16x = 417,317.40 × 211,794.42
  4. Step 4: Simplify right side
    302,720.16x = 88,385,496,688.91
  5. Step 5: Solve for x
    x = 88,385,496,688.91/302,720.16
  6. Step 6: Final answer
    x = 291,970.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.