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Finding the Fourth Proportional to 514,824.90, 709,670.86 and 361,432.76

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Solution

The fourth proportional to 514,824.90, 709,670.86 and 361,432.76 is: 498,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,824.90 : 709,670.86 = 361,432.76 : x
  2. Step 2: Convert to fraction form
    514,824.90/709,670.86 = 361,432.76/x
  3. Step 3: Cross multiply
    514,824.90x = 709,670.86 × 361,432.76
  4. Step 4: Simplify right side
    514,824.90x = 256,498,297,621.37
  5. Step 5: Solve for x
    x = 256,498,297,621.37/514,824.90
  6. Step 6: Final answer
    x = 498,224.34

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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.