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Finding the Fourth Proportional to 258,410.94, 356,563.68 and 143,686.32

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Solution

The fourth proportional to 258,410.94, 356,563.68 and 143,686.32 is: 198,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,410.94 : 356,563.68 = 143,686.32 : x
  2. Step 2: Convert to fraction form
    258,410.94/356,563.68 = 143,686.32/x
  3. Step 3: Cross multiply
    258,410.94x = 356,563.68 × 143,686.32
  4. Step 4: Simplify right side
    258,410.94x = 51,233,323,024.86
  5. Step 5: Solve for x
    x = 51,233,323,024.86/258,410.94
  6. Step 6: Final answer
    x = 198,262.98

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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.