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Finding the Fourth Proportional to 497,627.40, 747,218.70 and 287,675.40

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Solution

The fourth proportional to 497,627.40, 747,218.70 and 287,675.40 is: 431,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,627.40 : 747,218.70 = 287,675.40 : x
  2. Step 2: Convert to fraction form
    497,627.40/747,218.70 = 287,675.40/x
  3. Step 3: Cross multiply
    497,627.40x = 747,218.70 × 287,675.40
  4. Step 4: Simplify right side
    497,627.40x = 214,956,438,409.98
  5. Step 5: Solve for x
    x = 214,956,438,409.98/497,627.40
  6. Step 6: Final answer
    x = 431,962.63

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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.