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Finding the Fourth Proportional to 470,645.22, 649,545.69 and 279,658.80

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Solution

The fourth proportional to 470,645.22, 649,545.69 and 279,658.80 is: 385,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,645.22 : 649,545.69 = 279,658.80 : x
  2. Step 2: Convert to fraction form
    470,645.22/649,545.69 = 279,658.80/x
  3. Step 3: Cross multiply
    470,645.22x = 649,545.69 × 279,658.80
  4. Step 4: Simplify right side
    470,645.22x = 181,651,168,210.57
  5. Step 5: Solve for x
    x = 181,651,168,210.57/470,645.22
  6. Step 6: Final answer
    x = 385,962.00

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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.