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Finding the Fourth Proportional to 258,980.25, 357,400.05 and 145,803

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Solution

The fourth proportional to 258,980.25, 357,400.05 and 145,803 is: 201,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,980.25 : 357,400.05 = 145,803 : x
  2. Step 2: Convert to fraction form
    258,980.25/357,400.05 = 145,803/x
  3. Step 3: Cross multiply
    258,980.25x = 357,400.05 × 145,803
  4. Step 4: Simplify right side
    258,980.25x = 52,109,999,490.15
  5. Step 5: Solve for x
    x = 52,109,999,490.15/258,980.25
  6. Step 6: Final answer
    x = 201,212.25

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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.