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Finding the Fourth Proportional to 759,486, 1,138,483.80 and 422,688

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Solution

The fourth proportional to 759,486, 1,138,483.80 and 422,688 is: 633,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,486 : 1,138,483.80 = 422,688 : x
  2. Step 2: Convert to fraction form
    759,486/1,138,483.80 = 422,688/x
  3. Step 3: Cross multiply
    759,486x = 1,138,483.80 × 422,688
  4. Step 4: Simplify right side
    759,486x = 481,223,440,454.40
  5. Step 5: Solve for x
    x = 481,223,440,454.40/759,486
  6. Step 6: Final answer
    x = 633,617.26

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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.