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Finding the Fourth Proportional to 375,424.61, 518,123.12 and 214,303.88

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Solution

The fourth proportional to 375,424.61, 518,123.12 and 214,303.88 is: 295,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,424.61 : 518,123.12 = 214,303.88 : x
  2. Step 2: Convert to fraction form
    375,424.61/518,123.12 = 214,303.88/x
  3. Step 3: Cross multiply
    375,424.61x = 518,123.12 × 214,303.88
  4. Step 4: Simplify right side
    375,424.61x = 111,035,795,157.49
  5. Step 5: Solve for x
    x = 111,035,795,157.49/375,424.61
  6. Step 6: Final answer
    x = 295,760.57

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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.