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Finding the Fourth Proportional to 763,854.71, 1,054,126.71 and 419,697.86

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Solution

The fourth proportional to 763,854.71, 1,054,126.71 and 419,697.86 is: 579,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,854.71 : 1,054,126.71 = 419,697.86 : x
  2. Step 2: Convert to fraction form
    763,854.71/1,054,126.71 = 419,697.86/x
  3. Step 3: Cross multiply
    763,854.71x = 1,054,126.71 × 419,697.86
  4. Step 4: Simplify right side
    763,854.71x = 442,414,719,085.21
  5. Step 5: Solve for x
    x = 442,414,719,085.21/763,854.71
  6. Step 6: Final answer
    x = 579,187.01

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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.