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Finding the Fourth Proportional to 340,657.72, 470,108.12 and 185,608.24

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Solution

The fourth proportional to 340,657.72, 470,108.12 and 185,608.24 is: 256,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,657.72 : 470,108.12 = 185,608.24 : x
  2. Step 2: Convert to fraction form
    340,657.72/470,108.12 = 185,608.24/x
  3. Step 3: Cross multiply
    340,657.72x = 470,108.12 × 185,608.24
  4. Step 4: Simplify right side
    340,657.72x = 87,255,940,762.91
  5. Step 5: Solve for x
    x = 87,255,940,762.91/340,657.72
  6. Step 6: Final answer
    x = 256,139.63

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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.