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Finding the Fourth Proportional to 310,638.48, 465,274.74 and 256,719.37

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Solution

The fourth proportional to 310,638.48, 465,274.74 and 256,719.37 is: 384,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,638.48 : 465,274.74 = 256,719.37 : x
  2. Step 2: Convert to fraction form
    310,638.48/465,274.74 = 256,719.37/x
  3. Step 3: Cross multiply
    310,638.48x = 465,274.74 × 256,719.37
  4. Step 4: Simplify right side
    310,638.48x = 119,445,038,129.71
  5. Step 5: Solve for x
    x = 119,445,038,129.71/310,638.48
  6. Step 6: Final answer
    x = 384,514.62

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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.