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Finding the Fourth Proportional to 290,980.92, 402,275.34 and 288,324.12

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Solution

The fourth proportional to 290,980.92, 402,275.34 and 288,324.12 is: 398,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,980.92 : 402,275.34 = 288,324.12 : x
  2. Step 2: Convert to fraction form
    290,980.92/402,275.34 = 288,324.12/x
  3. Step 3: Cross multiply
    290,980.92x = 402,275.34 × 288,324.12
  4. Step 4: Simplify right side
    290,980.92x = 115,985,683,403.20
  5. Step 5: Solve for x
    x = 115,985,683,403.20/290,980.92
  6. Step 6: Final answer
    x = 398,602.37

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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.