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Finding the Fourth Proportional to 343,802.64, 474,440.16 and 190,831.92

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Solution

The fourth proportional to 343,802.64, 474,440.16 and 190,831.92 is: 263,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,802.64 : 474,440.16 = 190,831.92 : x
  2. Step 2: Convert to fraction form
    343,802.64/474,440.16 = 190,831.92/x
  3. Step 3: Cross multiply
    343,802.64x = 474,440.16 × 190,831.92
  4. Step 4: Simplify right side
    343,802.64x = 90,538,326,657.91
  5. Step 5: Solve for x
    x = 90,538,326,657.91/343,802.64
  6. Step 6: Final answer
    x = 263,343.90

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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.