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Finding the Fourth Proportional to 647,408.50, 893,404.47 and 357,020.04

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Solution

The fourth proportional to 647,408.50, 893,404.47 and 357,020.04 is: 492,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,408.50 : 893,404.47 = 357,020.04 : x
  2. Step 2: Convert to fraction form
    647,408.50/893,404.47 = 357,020.04/x
  3. Step 3: Cross multiply
    647,408.50x = 893,404.47 × 357,020.04
  4. Step 4: Simplify right side
    647,408.50x = 318,963,297,271.03
  5. Step 5: Solve for x
    x = 318,963,297,271.03/647,408.50
  6. Step 6: Final answer
    x = 492,677.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.