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Finding the Fourth Proportional to 287,817.60, 431,726.40 and 163,401.60

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Solution

The fourth proportional to 287,817.60, 431,726.40 and 163,401.60 is: 245,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,817.60 : 431,726.40 = 163,401.60 : x
  2. Step 2: Convert to fraction form
    287,817.60/431,726.40 = 163,401.60/x
  3. Step 3: Cross multiply
    287,817.60x = 431,726.40 × 163,401.60
  4. Step 4: Simplify right side
    287,817.60x = 70,544,784,522.24
  5. Step 5: Solve for x
    x = 70,544,784,522.24/287,817.60
  6. Step 6: Final answer
    x = 245,102.40

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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.