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Finding the Fourth Proportional to 296,069.16, 408,317.16 and 209,857.60

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Solution

The fourth proportional to 296,069.16, 408,317.16 and 209,857.60 is: 289,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,069.16 : 408,317.16 = 209,857.60 : x
  2. Step 2: Convert to fraction form
    296,069.16/408,317.16 = 209,857.60/x
  3. Step 3: Cross multiply
    296,069.16x = 408,317.16 × 209,857.60
  4. Step 4: Simplify right side
    296,069.16x = 85,688,459,236.42
  5. Step 5: Solve for x
    x = 85,688,459,236.42/296,069.16
  6. Step 6: Final answer
    x = 289,420.42

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1.5x scale

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.