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Finding the Fourth Proportional to 507,411, 700,227.18 and 306,207

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Solution

The fourth proportional to 507,411, 700,227.18 and 306,207 is: 422,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,411 : 700,227.18 = 306,207 : x
  2. Step 2: Convert to fraction form
    507,411/700,227.18 = 306,207/x
  3. Step 3: Cross multiply
    507,411x = 700,227.18 × 306,207
  4. Step 4: Simplify right side
    507,411x = 214,414,464,106.26
  5. Step 5: Solve for x
    x = 214,414,464,106.26/507,411
  6. Step 6: Final answer
    x = 422,565.66

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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.