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Finding the Fourth Proportional to 549,400.90, 823,117.20 and 338,792.80

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Solution

The fourth proportional to 549,400.90, 823,117.20 and 338,792.80 is: 507,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,400.90 : 823,117.20 = 338,792.80 : x
  2. Step 2: Convert to fraction form
    549,400.90/823,117.20 = 338,792.80/x
  3. Step 3: Cross multiply
    549,400.90x = 823,117.20 × 338,792.80
  4. Step 4: Simplify right side
    549,400.90x = 278,866,180,916.16
  5. Step 5: Solve for x
    x = 278,866,180,916.16/549,400.90
  6. Step 6: Final answer
    x = 507,582.32

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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.