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Finding the Fourth Proportional to 312,119.61, 430,722 and 168,876.51

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Solution

The fourth proportional to 312,119.61, 430,722 and 168,876.51 is: 233,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,119.61 : 430,722 = 168,876.51 : x
  2. Step 2: Convert to fraction form
    312,119.61/430,722 = 168,876.51/x
  3. Step 3: Cross multiply
    312,119.61x = 430,722 × 168,876.51
  4. Step 4: Simplify right side
    312,119.61x = 72,738,828,140.22
  5. Step 5: Solve for x
    x = 72,738,828,140.22/312,119.61
  6. Step 6: Final answer
    x = 233,047.93

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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.