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Finding the Fourth Proportional to 287,436.68, 431,207.22 and 97,887.32

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Solution

The fourth proportional to 287,436.68, 431,207.22 and 97,887.32 is: 146,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,436.68 : 431,207.22 = 97,887.32 : x
  2. Step 2: Convert to fraction form
    287,436.68/431,207.22 = 97,887.32/x
  3. Step 3: Cross multiply
    287,436.68x = 431,207.22 × 97,887.32
  4. Step 4: Simplify right side
    287,436.68x = 42,209,719,130.45
  5. Step 5: Solve for x
    x = 42,209,719,130.45/287,436.68
  6. Step 6: Final answer
    x = 146,848.76

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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.