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Finding the Fourth Proportional to 302,255.68, 417,225.12 and 259,643.20

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Solution

The fourth proportional to 302,255.68, 417,225.12 and 259,643.20 is: 358,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,255.68 : 417,225.12 = 259,643.20 : x
  2. Step 2: Convert to fraction form
    302,255.68/417,225.12 = 259,643.20/x
  3. Step 3: Cross multiply
    302,255.68x = 417,225.12 × 259,643.20
  4. Step 4: Simplify right side
    302,255.68x = 108,329,665,277.18
  5. Step 5: Solve for x
    x = 108,329,665,277.18/302,255.68
  6. Step 6: Final answer
    x = 358,404.07

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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.