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Finding the Fourth Proportional to 538,898.64, 808,347.89 and 302,259.78

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Solution

The fourth proportional to 538,898.64, 808,347.89 and 302,259.78 is: 453,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,898.64 : 808,347.89 = 302,259.78 : x
  2. Step 2: Convert to fraction form
    538,898.64/808,347.89 = 302,259.78/x
  3. Step 3: Cross multiply
    538,898.64x = 808,347.89 × 302,259.78
  4. Step 4: Simplify right side
    538,898.64x = 244,331,053,883.57
  5. Step 5: Solve for x
    x = 244,331,053,883.57/538,898.64
  6. Step 6: Final answer
    x = 453,389.63

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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.