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Finding the Fourth Proportional to 610,489, 842,477.24 and 338,582.16

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Solution

The fourth proportional to 610,489, 842,477.24 and 338,582.16 is: 467,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,489 : 842,477.24 = 338,582.16 : x
  2. Step 2: Convert to fraction form
    610,489/842,477.24 = 338,582.16/x
  3. Step 3: Cross multiply
    610,489x = 842,477.24 × 338,582.16
  4. Step 4: Simplify right side
    610,489x = 285,247,763,670.04
  5. Step 5: Solve for x
    x = 285,247,763,670.04/610,489
  6. Step 6: Final answer
    x = 467,244.72

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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.