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Finding the Fourth Proportional to 340,557.92, 469,728.24 and 289,216.16

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Solution

The fourth proportional to 340,557.92, 469,728.24 and 289,216.16 is: 398,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,557.92 : 469,728.24 = 289,216.16 : x
  2. Step 2: Convert to fraction form
    340,557.92/469,728.24 = 289,216.16/x
  3. Step 3: Cross multiply
    340,557.92x = 469,728.24 × 289,216.16
  4. Step 4: Simplify right side
    340,557.92x = 135,852,997,816.36
  5. Step 5: Solve for x
    x = 135,852,997,816.36/340,557.92
  6. Step 6: Final answer
    x = 398,913.05

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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.