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Finding the Fourth Proportional to 304,792, 420,515.76 and 197,444.32

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Solution

The fourth proportional to 304,792, 420,515.76 and 197,444.32 is: 272,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,792 : 420,515.76 = 197,444.32 : x
  2. Step 2: Convert to fraction form
    304,792/420,515.76 = 197,444.32/x
  3. Step 3: Cross multiply
    304,792x = 420,515.76 × 197,444.32
  4. Step 4: Simplify right side
    304,792x = 83,028,448,282.48
  5. Step 5: Solve for x
    x = 83,028,448,282.48/304,792
  6. Step 6: Final answer
    x = 272,410.20

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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.