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Finding the Fourth Proportional to 778,617, 1,074,492.90 and 420,921

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Solution

The fourth proportional to 778,617, 1,074,492.90 and 420,921 is: 580,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,617 : 1,074,492.90 = 420,921 : x
  2. Step 2: Convert to fraction form
    778,617/1,074,492.90 = 420,921/x
  3. Step 3: Cross multiply
    778,617x = 1,074,492.90 × 420,921
  4. Step 4: Simplify right side
    778,617x = 452,276,625,960.90
  5. Step 5: Solve for x
    x = 452,276,625,960.90/778,617
  6. Step 6: Final answer
    x = 580,871.76

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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.