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Finding the Fourth Proportional to 604,456.40, 905,647.80 and 288,232.40

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Solution

The fourth proportional to 604,456.40, 905,647.80 and 288,232.40 is: 431,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,456.40 : 905,647.80 = 288,232.40 : x
  2. Step 2: Convert to fraction form
    604,456.40/905,647.80 = 288,232.40/x
  3. Step 3: Cross multiply
    604,456.40x = 905,647.80 × 288,232.40
  4. Step 4: Simplify right side
    604,456.40x = 261,037,038,948.72
  5. Step 5: Solve for x
    x = 261,037,038,948.72/604,456.40
  6. Step 6: Final answer
    x = 431,854.21

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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.