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Finding the Fourth Proportional to 287,568.10, 431,352.15 and 74,335.60

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Solution

The fourth proportional to 287,568.10, 431,352.15 and 74,335.60 is: 111,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,568.10 : 431,352.15 = 74,335.60 : x
  2. Step 2: Convert to fraction form
    287,568.10/431,352.15 = 74,335.60/x
  3. Step 3: Cross multiply
    287,568.10x = 431,352.15 × 74,335.60
  4. Step 4: Simplify right side
    287,568.10x = 32,064,820,881.54
  5. Step 5: Solve for x
    x = 32,064,820,881.54/287,568.10
  6. Step 6: Final answer
    x = 111,503.40

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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.