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Finding the Fourth Proportional to 257,646, 355,430.52 and 182,236.08

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Solution

The fourth proportional to 257,646, 355,430.52 and 182,236.08 is: 251,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,646 : 355,430.52 = 182,236.08 : x
  2. Step 2: Convert to fraction form
    257,646/355,430.52 = 182,236.08/x
  3. Step 3: Cross multiply
    257,646x = 355,430.52 × 182,236.08
  4. Step 4: Simplify right side
    257,646x = 64,772,264,677.16
  5. Step 5: Solve for x
    x = 64,772,264,677.16/257,646
  6. Step 6: Final answer
    x = 251,400.23

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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.