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Finding the Fourth Proportional to 390,918.16, 538,994.28 and 330,382

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Solution

The fourth proportional to 390,918.16, 538,994.28 and 330,382 is: 455,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,918.16 : 538,994.28 = 330,382 : x
  2. Step 2: Convert to fraction form
    390,918.16/538,994.28 = 330,382/x
  3. Step 3: Cross multiply
    390,918.16x = 538,994.28 × 330,382
  4. Step 4: Simplify right side
    390,918.16x = 178,074,008,214.96
  5. Step 5: Solve for x
    x = 178,074,008,214.96/390,918.16
  6. Step 6: Final answer
    x = 455,527.59

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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.