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Finding the Fourth Proportional to 368,011.89, 507,767.74 and 214,963.20

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Solution

The fourth proportional to 368,011.89, 507,767.74 and 214,963.20 is: 296,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,011.89 : 507,767.74 = 214,963.20 : x
  2. Step 2: Convert to fraction form
    368,011.89/507,767.74 = 214,963.20/x
  3. Step 3: Cross multiply
    368,011.89x = 507,767.74 × 214,963.20
  4. Step 4: Simplify right side
    368,011.89x = 109,151,377,709.76
  5. Step 5: Solve for x
    x = 109,151,377,709.76/368,011.89
  6. Step 6: Final answer
    x = 296,597.42

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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.