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Finding the Fourth Proportional to 532,720, 735,153.60 and 306,360.64

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Solution

The fourth proportional to 532,720, 735,153.60 and 306,360.64 is: 422,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,720 : 735,153.60 = 306,360.64 : x
  2. Step 2: Convert to fraction form
    532,720/735,153.60 = 306,360.64/x
  3. Step 3: Cross multiply
    532,720x = 735,153.60 × 306,360.64
  4. Step 4: Simplify right side
    532,720x = 225,222,127,394.30
  5. Step 5: Solve for x
    x = 225,222,127,394.30/532,720
  6. Step 6: Final answer
    x = 422,777.68

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1.5x scale

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.