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Finding the Fourth Proportional to 499,273.08, 688,828.62 and 284,261.01

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Solution

The fourth proportional to 499,273.08, 688,828.62 and 284,261.01 is: 392,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,273.08 : 688,828.62 = 284,261.01 : x
  2. Step 2: Convert to fraction form
    499,273.08/688,828.62 = 284,261.01/x
  3. Step 3: Cross multiply
    499,273.08x = 688,828.62 × 284,261.01
  4. Step 4: Simplify right side
    499,273.08x = 195,807,119,238.11
  5. Step 5: Solve for x
    x = 195,807,119,238.11/499,273.08
  6. Step 6: Final answer
    x = 392,184.41

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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.