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Finding the Fourth Proportional to 865,875, 1,298,831.94 and 297,255

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Solution

The fourth proportional to 865,875, 1,298,831.94 and 297,255 is: 445,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,875 : 1,298,831.94 = 297,255 : x
  2. Step 2: Convert to fraction form
    865,875/1,298,831.94 = 297,255/x
  3. Step 3: Cross multiply
    865,875x = 1,298,831.94 × 297,255
  4. Step 4: Simplify right side
    865,875x = 386,084,288,324.70
  5. Step 5: Solve for x
    x = 386,084,288,324.70/865,875
  6. Step 6: Final answer
    x = 445,889.17

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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.