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Finding the Fourth Proportional to 258,703.76, 357,009.84 and 145,527.32

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Solution

The fourth proportional to 258,703.76, 357,009.84 and 145,527.32 is: 200,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,703.76 : 357,009.84 = 145,527.32 : x
  2. Step 2: Convert to fraction form
    258,703.76/357,009.84 = 145,527.32/x
  3. Step 3: Cross multiply
    258,703.76x = 357,009.84 × 145,527.32
  4. Step 4: Simplify right side
    258,703.76x = 51,954,685,228.83
  5. Step 5: Solve for x
    x = 51,954,685,228.83/258,703.76
  6. Step 6: Final answer
    x = 200,826.94

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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.