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Finding the Fourth Proportional to 704,169.73, 971,728 and 417,518.29

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Solution

The fourth proportional to 704,169.73, 971,728 and 417,518.29 is: 576,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,169.73 : 971,728 = 417,518.29 : x
  2. Step 2: Convert to fraction form
    704,169.73/971,728 = 417,518.29/x
  3. Step 3: Cross multiply
    704,169.73x = 971,728 × 417,518.29
  4. Step 4: Simplify right side
    704,169.73x = 405,714,212,905.12
  5. Step 5: Solve for x
    x = 405,714,212,905.12/704,169.73
  6. Step 6: Final answer
    x = 576,159.69

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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.