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Finding the Fourth Proportional to 813,690, 1,220,535 and 315,054

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Solution

The fourth proportional to 813,690, 1,220,535 and 315,054 is: 472,581

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,690 : 1,220,535 = 315,054 : x
  2. Step 2: Convert to fraction form
    813,690/1,220,535 = 315,054/x
  3. Step 3: Cross multiply
    813,690x = 1,220,535 × 315,054
  4. Step 4: Simplify right side
    813,690x = 384,534,433,890
  5. Step 5: Solve for x
    x = 384,534,433,890/813,690
  6. Step 6: Final answer
    x = 472,581

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.