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Finding the Fourth Proportional to 258,045.90, 386,485.65 and 153,069.90

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Solution

The fourth proportional to 258,045.90, 386,485.65 and 153,069.90 is: 229,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,045.90 : 386,485.65 = 153,069.90 : x
  2. Step 2: Convert to fraction form
    258,045.90/386,485.65 = 153,069.90/x
  3. Step 3: Cross multiply
    258,045.90x = 386,485.65 × 153,069.90
  4. Step 4: Simplify right side
    258,045.90x = 59,159,319,796.94
  5. Step 5: Solve for x
    x = 59,159,319,796.94/258,045.90
  6. Step 6: Final answer
    x = 229,258.90

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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.