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Finding the Fourth Proportional to 258,714.57, 388,071.95 and 116,393.64

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Solution

The fourth proportional to 258,714.57, 388,071.95 and 116,393.64 is: 174,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,714.57 : 388,071.95 = 116,393.64 : x
  2. Step 2: Convert to fraction form
    258,714.57/388,071.95 = 116,393.64/x
  3. Step 3: Cross multiply
    258,714.57x = 388,071.95 × 116,393.64
  4. Step 4: Simplify right side
    258,714.57x = 45,169,105,193.02
  5. Step 5: Solve for x
    x = 45,169,105,193.02/258,714.57
  6. Step 6: Final answer
    x = 174,590.50

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1.5x scale

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.