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Finding the Fourth Proportional to 375,756.16, 518,532.72 and 214,607.86

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Solution

The fourth proportional to 375,756.16, 518,532.72 and 214,607.86 is: 296,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,756.16 : 518,532.72 = 214,607.86 : x
  2. Step 2: Convert to fraction form
    375,756.16/518,532.72 = 214,607.86/x
  3. Step 3: Cross multiply
    375,756.16x = 518,532.72 × 214,607.86
  4. Step 4: Simplify right side
    375,756.16x = 111,281,197,379.18
  5. Step 5: Solve for x
    x = 111,281,197,379.18/375,756.16
  6. Step 6: Final answer
    x = 296,152.69

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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.