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Finding the Fourth Proportional to 392,901.10, 542,205.71 and 229,567.21

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Solution

The fourth proportional to 392,901.10, 542,205.71 and 229,567.21 is: 316,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,901.10 : 542,205.71 = 229,567.21 : x
  2. Step 2: Convert to fraction form
    392,901.10/542,205.71 = 229,567.21/x
  3. Step 3: Cross multiply
    392,901.10x = 542,205.71 × 229,567.21
  4. Step 4: Simplify right side
    392,901.10x = 124,472,652,090.77
  5. Step 5: Solve for x
    x = 124,472,652,090.77/392,901.10
  6. Step 6: Final answer
    x = 316,804.03

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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.