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Finding the Fourth Proportional to 517,427.60, 713,942.28 and 302,525.84

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Solution

The fourth proportional to 517,427.60, 713,942.28 and 302,525.84 is: 417,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,427.60 : 713,942.28 = 302,525.84 : x
  2. Step 2: Convert to fraction form
    517,427.60/713,942.28 = 302,525.84/x
  3. Step 3: Cross multiply
    517,427.60x = 713,942.28 × 302,525.84
  4. Step 4: Simplify right side
    517,427.60x = 215,985,987,968.52
  5. Step 5: Solve for x
    x = 215,985,987,968.52/517,427.60
  6. Step 6: Final answer
    x = 417,422.63

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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.