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Finding the Fourth Proportional to 287,353.60, 431,066.19 and 97,799.40

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Solution

The fourth proportional to 287,353.60, 431,066.19 and 97,799.40 is: 146,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,353.60 : 431,066.19 = 97,799.40 : x
  2. Step 2: Convert to fraction form
    287,353.60/431,066.19 = 97,799.40/x
  3. Step 3: Cross multiply
    287,353.60x = 431,066.19 × 97,799.40
  4. Step 4: Simplify right side
    287,353.60x = 42,158,015,771.29
  5. Step 5: Solve for x
    x = 42,158,015,771.29/287,353.60
  6. Step 6: Final answer
    x = 146,711.28

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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.