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Finding the Fourth Proportional to 284,795.08, 426,405.18 and 214,461.16

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Solution

The fourth proportional to 284,795.08, 426,405.18 and 214,461.16 is: 321,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,795.08 : 426,405.18 = 214,461.16 : x
  2. Step 2: Convert to fraction form
    284,795.08/426,405.18 = 214,461.16/x
  3. Step 3: Cross multiply
    284,795.08x = 426,405.18 × 214,461.16
  4. Step 4: Simplify right side
    284,795.08x = 91,447,349,532.81
  5. Step 5: Solve for x
    x = 91,447,349,532.81/284,795.08
  6. Step 6: Final answer
    x = 321,098.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.