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Finding the Fourth Proportional to 538,653.63, 807,980.45 and 139,334.77

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Solution

The fourth proportional to 538,653.63, 807,980.45 and 139,334.77 is: 209,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,653.63 : 807,980.45 = 139,334.77 : x
  2. Step 2: Convert to fraction form
    538,653.63/807,980.45 = 139,334.77/x
  3. Step 3: Cross multiply
    538,653.63x = 807,980.45 × 139,334.77
  4. Step 4: Simplify right side
    538,653.63x = 112,579,770,165.25
  5. Step 5: Solve for x
    x = 112,579,770,165.25/538,653.63
  6. Step 6: Final answer
    x = 209,002.16

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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.