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Finding the Fourth Proportional to 390,304, 585,457.44 and 94,816

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Solution

The fourth proportional to 390,304, 585,457.44 and 94,816 is: 142,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,304 : 585,457.44 = 94,816 : x
  2. Step 2: Convert to fraction form
    390,304/585,457.44 = 94,816/x
  3. Step 3: Cross multiply
    390,304x = 585,457.44 × 94,816
  4. Step 4: Simplify right side
    390,304x = 55,510,732,631.04
  5. Step 5: Solve for x
    x = 55,510,732,631.04/390,304
  6. Step 6: Final answer
    x = 142,224.35

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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.