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Finding the Fourth Proportional to 417,821.32, 576,022.16 and 286,994.98

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Solution

The fourth proportional to 417,821.32, 576,022.16 and 286,994.98 is: 395,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,821.32 : 576,022.16 = 286,994.98 : x
  2. Step 2: Convert to fraction form
    417,821.32/576,022.16 = 286,994.98/x
  3. Step 3: Cross multiply
    417,821.32x = 576,022.16 × 286,994.98
  4. Step 4: Simplify right side
    417,821.32x = 165,315,463,973.67
  5. Step 5: Solve for x
    x = 165,315,463,973.67/417,821.32
  6. Step 6: Final answer
    x = 395,660.68

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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.