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Finding the Fourth Proportional to 284,807.48, 426,837.50 and 209,575.35

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Solution

The fourth proportional to 284,807.48, 426,837.50 and 209,575.35 is: 314,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,807.48 : 426,837.50 = 209,575.35 : x
  2. Step 2: Convert to fraction form
    284,807.48/426,837.50 = 209,575.35/x
  3. Step 3: Cross multiply
    284,807.48x = 426,837.50 × 209,575.35
  4. Step 4: Simplify right side
    284,807.48x = 89,454,618,193.66
  5. Step 5: Solve for x
    x = 89,454,618,193.66/284,807.48
  6. Step 6: Final answer
    x = 314,088.03

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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.