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Finding the Fourth Proportional to 389,670.92, 584,674.77 and 209,545.81

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Solution

The fourth proportional to 389,670.92, 584,674.77 and 209,545.81 is: 314,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,670.92 : 584,674.77 = 209,545.81 : x
  2. Step 2: Convert to fraction form
    389,670.92/584,674.77 = 209,545.81/x
  3. Step 3: Cross multiply
    389,670.92x = 584,674.77 × 209,545.81
  4. Step 4: Simplify right side
    389,670.92x = 122,516,149,111.08
  5. Step 5: Solve for x
    x = 122,516,149,111.08/389,670.92
  6. Step 6: Final answer
    x = 314,409.27

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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.