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Finding the Fourth Proportional to 491,640.60, 736,586.10 and 421,656.60

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Solution

The fourth proportional to 491,640.60, 736,586.10 and 421,656.60 is: 631,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,640.60 : 736,586.10 = 421,656.60 : x
  2. Step 2: Convert to fraction form
    491,640.60/736,586.10 = 421,656.60/x
  3. Step 3: Cross multiply
    491,640.60x = 736,586.10 × 421,656.60
  4. Step 4: Simplify right side
    491,640.60x = 310,586,390,533.26
  5. Step 5: Solve for x
    x = 310,586,390,533.26/491,640.60
  6. Step 6: Final answer
    x = 631,734.63

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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.