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Finding the Fourth Proportional to 538,798.77, 808,513.25 and 299,114.51

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Solution

The fourth proportional to 538,798.77, 808,513.25 and 299,114.51 is: 448,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,798.77 : 808,513.25 = 299,114.51 : x
  2. Step 2: Convert to fraction form
    538,798.77/808,513.25 = 299,114.51/x
  3. Step 3: Cross multiply
    538,798.77x = 808,513.25 × 299,114.51
  4. Step 4: Simplify right side
    538,798.77x = 241,838,039,064.12
  5. Step 5: Solve for x
    x = 241,838,039,064.12/538,798.77
  6. Step 6: Final answer
    x = 448,846.68

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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.