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Finding the Fourth Proportional to 296,069.61, 408,317.85 and 209,858.07

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Solution

The fourth proportional to 296,069.61, 408,317.85 and 209,858.07 is: 289,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,069.61 : 408,317.85 = 209,858.07 : x
  2. Step 2: Convert to fraction form
    296,069.61/408,317.85 = 209,858.07/x
  3. Step 3: Cross multiply
    296,069.61x = 408,317.85 × 209,858.07
  4. Step 4: Simplify right side
    296,069.61x = 85,688,795,947.55
  5. Step 5: Solve for x
    x = 85,688,795,947.55/296,069.61
  6. Step 6: Final answer
    x = 289,421.11

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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.