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Finding the Fourth Proportional to 258,899.72, 357,392.16 and 174,066

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Solution

The fourth proportional to 258,899.72, 357,392.16 and 174,066 is: 240,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,899.72 : 357,392.16 = 174,066 : x
  2. Step 2: Convert to fraction form
    258,899.72/357,392.16 = 174,066/x
  3. Step 3: Cross multiply
    258,899.72x = 357,392.16 × 174,066
  4. Step 4: Simplify right side
    258,899.72x = 62,209,823,722.56
  5. Step 5: Solve for x
    x = 62,209,823,722.56/258,899.72
  6. Step 6: Final answer
    x = 240,285.40

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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.