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Finding the Fourth Proportional to 647,408.61, 893,404.29 and 357,020.22

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Solution

The fourth proportional to 647,408.61, 893,404.29 and 357,020.22 is: 492,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,408.61 : 893,404.29 = 357,020.22 : x
  2. Step 2: Convert to fraction form
    647,408.61/893,404.29 = 357,020.22/x
  3. Step 3: Cross multiply
    647,408.61x = 893,404.29 × 357,020.22
  4. Step 4: Simplify right side
    647,408.61x = 318,963,396,164.74
  5. Step 5: Solve for x
    x = 318,963,396,164.74/647,408.61
  6. Step 6: Final answer
    x = 492,677.10

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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.