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Finding the Fourth Proportional to 401,138.84, 600,351.98 and 390,344.01

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Solution

The fourth proportional to 401,138.84, 600,351.98 and 390,344.01 is: 584,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,138.84 : 600,351.98 = 390,344.01 : x
  2. Step 2: Convert to fraction form
    401,138.84/600,351.98 = 390,344.01/x
  3. Step 3: Cross multiply
    401,138.84x = 600,351.98 × 390,344.01
  4. Step 4: Simplify right side
    401,138.84x = 234,343,799,284.64
  5. Step 5: Solve for x
    x = 234,343,799,284.64/401,138.84
  6. Step 6: Final answer
    x = 584,196.24

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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.