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Finding the Fourth Proportional to 618,545.96, 853,592.82 and 346,616

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Solution

The fourth proportional to 618,545.96, 853,592.82 and 346,616 is: 478,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,545.96 : 853,592.82 = 346,616 : x
  2. Step 2: Convert to fraction form
    618,545.96/853,592.82 = 346,616/x
  3. Step 3: Cross multiply
    618,545.96x = 853,592.82 × 346,616
  4. Step 4: Simplify right side
    618,545.96x = 295,868,928,897.12
  5. Step 5: Solve for x
    x = 295,868,928,897.12/618,545.96
  6. Step 6: Final answer
    x = 478,329.74

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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.