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Finding the Fourth Proportional to 346,479.20, 518,941.20 and 284,271.20

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Solution

The fourth proportional to 346,479.20, 518,941.20 and 284,271.20 is: 425,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,479.20 : 518,941.20 = 284,271.20 : x
  2. Step 2: Convert to fraction form
    346,479.20/518,941.20 = 284,271.20/x
  3. Step 3: Cross multiply
    346,479.20x = 518,941.20 × 284,271.20
  4. Step 4: Simplify right side
    346,479.20x = 147,520,037,653.44
  5. Step 5: Solve for x
    x = 147,520,037,653.44/346,479.20
  6. Step 6: Final answer
    x = 425,768.81

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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.