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Finding the Fourth Proportional to 313,545.94, 470,397.03 and 91,929.94

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Solution

The fourth proportional to 313,545.94, 470,397.03 and 91,929.94 is: 137,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,545.94 : 470,397.03 = 91,929.94 : x
  2. Step 2: Convert to fraction form
    313,545.94/470,397.03 = 91,929.94/x
  3. Step 3: Cross multiply
    313,545.94x = 470,397.03 × 91,929.94
  4. Step 4: Simplify right side
    313,545.94x = 43,243,569,223.35
  5. Step 5: Solve for x
    x = 43,243,569,223.35/313,545.94
  6. Step 6: Final answer
    x = 137,917.81

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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.