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Finding the Fourth Proportional to 346,082.80, 518,686.80 and 308,466.40

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Solution

The fourth proportional to 346,082.80, 518,686.80 and 308,466.40 is: 462,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,082.80 : 518,686.80 = 308,466.40 : x
  2. Step 2: Convert to fraction form
    346,082.80/518,686.80 = 308,466.40/x
  3. Step 3: Cross multiply
    346,082.80x = 518,686.80 × 308,466.40
  4. Step 4: Simplify right side
    346,082.80x = 159,997,449,923.52
  5. Step 5: Solve for x
    x = 159,997,449,923.52/346,082.80
  6. Step 6: Final answer
    x = 462,309.74

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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.