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Finding the Fourth Proportional to 645,154.74, 890,317 and 354,785.02

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Solution

The fourth proportional to 645,154.74, 890,317 and 354,785.02 is: 489,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,154.74 : 890,317 = 354,785.02 : x
  2. Step 2: Convert to fraction form
    645,154.74/890,317 = 354,785.02/x
  3. Step 3: Cross multiply
    645,154.74x = 890,317 × 354,785.02
  4. Step 4: Simplify right side
    645,154.74x = 315,871,134,651.34
  5. Step 5: Solve for x
    x = 315,871,134,651.34/645,154.74
  6. Step 6: Final answer
    x = 489,605.23

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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.