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Finding the Fourth Proportional to 368,292.16, 508,743.48 and 288,724.24

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Solution

The fourth proportional to 368,292.16, 508,743.48 and 288,724.24 is: 398,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,292.16 : 508,743.48 = 288,724.24 : x
  2. Step 2: Convert to fraction form
    368,292.16/508,743.48 = 288,724.24/x
  3. Step 3: Cross multiply
    368,292.16x = 508,743.48 × 288,724.24
  4. Step 4: Simplify right side
    368,292.16x = 146,886,574,617.96
  5. Step 5: Solve for x
    x = 146,886,574,617.96/368,292.16
  6. Step 6: Final answer
    x = 398,831.66

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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.