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Finding the Fourth Proportional to 505,812.64, 697,802.16 and 304,492

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Solution

The fourth proportional to 505,812.64, 697,802.16 and 304,492 is: 420,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,812.64 : 697,802.16 = 304,492 : x
  2. Step 2: Convert to fraction form
    505,812.64/697,802.16 = 304,492/x
  3. Step 3: Cross multiply
    505,812.64x = 697,802.16 × 304,492
  4. Step 4: Simplify right side
    505,812.64x = 212,475,175,302.72
  5. Step 5: Solve for x
    x = 212,475,175,302.72/505,812.64
  6. Step 6: Final answer
    x = 420,066.95

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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.