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Finding the Fourth Proportional to 509,023.82, 702,461.32 and 279,602.32

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Solution

The fourth proportional to 509,023.82, 702,461.32 and 279,602.32 is: 385,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,023.82 : 702,461.32 = 279,602.32 : x
  2. Step 2: Convert to fraction form
    509,023.82/702,461.32 = 279,602.32/x
  3. Step 3: Cross multiply
    509,023.82x = 702,461.32 × 279,602.32
  4. Step 4: Simplify right side
    509,023.82x = 196,409,814,782.26
  5. Step 5: Solve for x
    x = 196,409,814,782.26/509,023.82
  6. Step 6: Final answer
    x = 385,855.84

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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.