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Finding the Fourth Proportional to 423,175.86, 583,978.95 and 229,583.25

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Solution

The fourth proportional to 423,175.86, 583,978.95 and 229,583.25 is: 316,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,175.86 : 583,978.95 = 229,583.25 : x
  2. Step 2: Convert to fraction form
    423,175.86/583,978.95 = 229,583.25/x
  3. Step 3: Cross multiply
    423,175.86x = 583,978.95 × 229,583.25
  4. Step 4: Simplify right side
    423,175.86x = 134,071,785,272.59
  5. Step 5: Solve for x
    x = 134,071,785,272.59/423,175.86
  6. Step 6: Final answer
    x = 316,822.86

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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.