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Finding the Fourth Proportional to 296,280.99, 408,866.64 and 160,315.20

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Solution

The fourth proportional to 296,280.99, 408,866.64 and 160,315.20 is: 221,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,280.99 : 408,866.64 = 160,315.20 : x
  2. Step 2: Convert to fraction form
    296,280.99/408,866.64 = 160,315.20/x
  3. Step 3: Cross multiply
    296,280.99x = 408,866.64 × 160,315.20
  4. Step 4: Simplify right side
    296,280.99x = 65,547,536,563.75
  5. Step 5: Solve for x
    x = 65,547,536,563.75/296,280.99
  6. Step 6: Final answer
    x = 221,234.36

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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.