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Finding the Fourth Proportional to 379,409.40, 569,114.10 and 361,913.40

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Solution

The fourth proportional to 379,409.40, 569,114.10 and 361,913.40 is: 542,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,409.40 : 569,114.10 = 361,913.40 : x
  2. Step 2: Convert to fraction form
    379,409.40/569,114.10 = 361,913.40/x
  3. Step 3: Cross multiply
    379,409.40x = 569,114.10 × 361,913.40
  4. Step 4: Simplify right side
    379,409.40x = 205,970,018,918.94
  5. Step 5: Solve for x
    x = 205,970,018,918.94/379,409.40
  6. Step 6: Final answer
    x = 542,870.10

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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.