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Finding the Fourth Proportional to 507,362.88, 700,165.92 and 306,120

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Solution

The fourth proportional to 507,362.88, 700,165.92 and 306,120 is: 422,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,362.88 : 700,165.92 = 306,120 : x
  2. Step 2: Convert to fraction form
    507,362.88/700,165.92 = 306,120/x
  3. Step 3: Cross multiply
    507,362.88x = 700,165.92 × 306,120
  4. Step 4: Simplify right side
    507,362.88x = 214,334,791,430.40
  5. Step 5: Solve for x
    x = 214,334,791,430.40/507,362.88
  6. Step 6: Final answer
    x = 422,448.70

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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.