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Finding the Fourth Proportional to 509,539.06, 703,172.64 and 280,106

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Solution

The fourth proportional to 509,539.06, 703,172.64 and 280,106 is: 386,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,539.06 : 703,172.64 = 280,106 : x
  2. Step 2: Convert to fraction form
    509,539.06/703,172.64 = 280,106/x
  3. Step 3: Cross multiply
    509,539.06x = 703,172.64 × 280,106
  4. Step 4: Simplify right side
    509,539.06x = 196,962,875,499.84
  5. Step 5: Solve for x
    x = 196,962,875,499.84/509,539.06
  6. Step 6: Final answer
    x = 386,551.08

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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.