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Finding the Fourth Proportional to 253,746.81, 380,501.06 and 147,161.07

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Solution

The fourth proportional to 253,746.81, 380,501.06 and 147,161.07 is: 220,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,746.81 : 380,501.06 = 147,161.07 : x
  2. Step 2: Convert to fraction form
    253,746.81/380,501.06 = 147,161.07/x
  3. Step 3: Cross multiply
    253,746.81x = 380,501.06 × 147,161.07
  4. Step 4: Simplify right side
    253,746.81x = 55,994,942,389.93
  5. Step 5: Solve for x
    x = 55,994,942,389.93/253,746.81
  6. Step 6: Final answer
    x = 220,672.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.