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Finding the Fourth Proportional to 723,742.09, 998,744.78 and 417,808.13

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Solution

The fourth proportional to 723,742.09, 998,744.78 and 417,808.13 is: 576,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,742.09 : 998,744.78 = 417,808.13 : x
  2. Step 2: Convert to fraction form
    723,742.09/998,744.78 = 417,808.13/x
  3. Step 3: Cross multiply
    723,742.09x = 998,744.78 × 417,808.13
  4. Step 4: Simplify right side
    723,742.09x = 417,283,684,929.86
  5. Step 5: Solve for x
    x = 417,283,684,929.86/723,742.09
  6. Step 6: Final answer
    x = 576,564.07

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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.