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Finding the Fourth Proportional to 645,090, 890,247.05 and 354,723.60

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Solution

The fourth proportional to 645,090, 890,247.05 and 354,723.60 is: 489,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,090 : 890,247.05 = 354,723.60 : x
  2. Step 2: Convert to fraction form
    645,090/890,247.05 = 354,723.60/x
  3. Step 3: Cross multiply
    645,090x = 890,247.05 × 354,723.60
  4. Step 4: Simplify right side
    645,090x = 315,791,638,465.38
  5. Step 5: Solve for x
    x = 315,791,638,465.38/645,090
  6. Step 6: Final answer
    x = 489,531.13

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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.