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Finding the Fourth Proportional to 1,220,874.78, 1,831,312.20 and 472,920.78

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Solution

The fourth proportional to 1,220,874.78, 1,831,312.20 and 472,920.78 is: 709,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,874.78 : 1,831,312.20 = 472,920.78 : x
  2. Step 2: Convert to fraction form
    1,220,874.78/1,831,312.20 = 472,920.78/x
  3. Step 3: Cross multiply
    1,220,874.78x = 1,831,312.20 × 472,920.78
  4. Step 4: Simplify right side
    1,220,874.78x = 866,065,594,047.52
  5. Step 5: Solve for x
    x = 866,065,594,047.52/1,220,874.78
  6. Step 6: Final answer
    x = 709,381.18

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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.