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Finding the Fourth Proportional to 284,429.90, 426,529.65 and 97,345.10

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Solution

The fourth proportional to 284,429.90, 426,529.65 and 97,345.10 is: 145,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,429.90 : 426,529.65 = 97,345.10 : x
  2. Step 2: Convert to fraction form
    284,429.90/426,529.65 = 97,345.10/x
  3. Step 3: Cross multiply
    284,429.90x = 426,529.65 × 97,345.10
  4. Step 4: Simplify right side
    284,429.90x = 41,520,571,432.22
  5. Step 5: Solve for x
    x = 41,520,571,432.22/284,429.90
  6. Step 6: Final answer
    x = 145,978.22

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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.