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Finding the Fourth Proportional to 405,726.52, 559,853.81 and 233,700.43

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Solution

The fourth proportional to 405,726.52, 559,853.81 and 233,700.43 is: 322,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,726.52 : 559,853.81 = 233,700.43 : x
  2. Step 2: Convert to fraction form
    405,726.52/559,853.81 = 233,700.43/x
  3. Step 3: Cross multiply
    405,726.52x = 559,853.81 × 233,700.43
  4. Step 4: Simplify right side
    405,726.52x = 130,838,076,134.14
  5. Step 5: Solve for x
    x = 130,838,076,134.14/405,726.52
  6. Step 6: Final answer
    x = 322,478.49

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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.