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Finding the Fourth Proportional to 313,545.80, 470,124.30 and 180,360.20

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Solution

The fourth proportional to 313,545.80, 470,124.30 and 180,360.20 is: 270,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,545.80 : 470,124.30 = 180,360.20 : x
  2. Step 2: Convert to fraction form
    313,545.80/470,124.30 = 180,360.20/x
  3. Step 3: Cross multiply
    313,545.80x = 470,124.30 × 180,360.20
  4. Step 4: Simplify right side
    313,545.80x = 84,791,712,772.86
  5. Step 5: Solve for x
    x = 84,791,712,772.86/313,545.80
  6. Step 6: Final answer
    x = 270,428.48

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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.