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Finding the Fourth Proportional to 616,297.54, 850,442.17 and 340,643.81

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Solution

The fourth proportional to 616,297.54, 850,442.17 and 340,643.81 is: 470,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,297.54 : 850,442.17 = 340,643.81 : x
  2. Step 2: Convert to fraction form
    616,297.54/850,442.17 = 340,643.81/x
  3. Step 3: Cross multiply
    616,297.54x = 850,442.17 × 340,643.81
  4. Step 4: Simplify right side
    616,297.54x = 289,697,860,973.47
  5. Step 5: Solve for x
    x = 289,697,860,973.47/616,297.54
  6. Step 6: Final answer
    x = 470,061.69

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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.