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Finding the Fourth Proportional to 315,601.72, 473,548.92 and 138,085.36

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Solution

The fourth proportional to 315,601.72, 473,548.92 and 138,085.36 is: 207,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,601.72 : 473,548.92 = 138,085.36 : x
  2. Step 2: Convert to fraction form
    315,601.72/473,548.92 = 138,085.36/x
  3. Step 3: Cross multiply
    315,601.72x = 473,548.92 × 138,085.36
  4. Step 4: Simplify right side
    315,601.72x = 65,390,173,095.81
  5. Step 5: Solve for x
    x = 65,390,173,095.81/315,601.72
  6. Step 6: Final answer
    x = 207,192.07

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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.