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Finding the Fourth Proportional to 476,782.36, 657,956.52 and 258,989.05

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Solution

The fourth proportional to 476,782.36, 657,956.52 and 258,989.05 is: 357,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,782.36 : 657,956.52 = 258,989.05 : x
  2. Step 2: Convert to fraction form
    476,782.36/657,956.52 = 258,989.05/x
  3. Step 3: Cross multiply
    476,782.36x = 657,956.52 × 258,989.05
  4. Step 4: Simplify right side
    476,782.36x = 170,403,534,878.55
  5. Step 5: Solve for x
    x = 170,403,534,878.55/476,782.36
  6. Step 6: Final answer
    x = 357,403.19

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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.