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Finding the Fourth Proportional to 604,193.30, 906,290.02 and 287,690.66

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Solution

The fourth proportional to 604,193.30, 906,290.02 and 287,690.66 is: 431,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,193.30 : 906,290.02 = 287,690.66 : x
  2. Step 2: Convert to fraction form
    604,193.30/906,290.02 = 287,690.66/x
  3. Step 3: Cross multiply
    604,193.30x = 906,290.02 × 287,690.66
  4. Step 4: Simplify right side
    604,193.30x = 260,731,174,005.21
  5. Step 5: Solve for x
    x = 260,731,174,005.21/604,193.30
  6. Step 6: Final answer
    x = 431,536.02

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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.