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Finding the Fourth Proportional to 258,795.95, 357,129.64 and 145,596.83

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Solution

The fourth proportional to 258,795.95, 357,129.64 and 145,596.83 is: 200,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,795.95 : 357,129.64 = 145,596.83 : x
  2. Step 2: Convert to fraction form
    258,795.95/357,129.64 = 145,596.83/x
  3. Step 3: Cross multiply
    258,795.95x = 357,129.64 × 145,596.83
  4. Step 4: Simplify right side
    258,795.95x = 51,996,941,879.39
  5. Step 5: Solve for x
    x = 51,996,941,879.39/258,795.95
  6. Step 6: Final answer
    x = 200,918.69

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1.5x scale

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.