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Finding the Fourth Proportional to 302,711.54, 417,658.79 and 210,727.74

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Solution

The fourth proportional to 302,711.54, 417,658.79 and 210,727.74 is: 290,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,711.54 : 417,658.79 = 210,727.74 : x
  2. Step 2: Convert to fraction form
    302,711.54/417,658.79 = 210,727.74/x
  3. Step 3: Cross multiply
    302,711.54x = 417,658.79 × 210,727.74
  4. Step 4: Simplify right side
    302,711.54x = 88,012,289,765.90
  5. Step 5: Solve for x
    x = 88,012,289,765.90/302,711.54
  6. Step 6: Final answer
    x = 290,746.40

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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.