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Finding the Fourth Proportional to 509,696.32, 703,398.96 and 280,271.02

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Solution

The fourth proportional to 509,696.32, 703,398.96 and 280,271.02 is: 386,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,696.32 : 703,398.96 = 280,271.02 : x
  2. Step 2: Convert to fraction form
    509,696.32/703,398.96 = 280,271.02/x
  3. Step 3: Cross multiply
    509,696.32x = 703,398.96 × 280,271.02
  4. Step 4: Simplify right side
    509,696.32x = 197,142,343,986.14
  5. Step 5: Solve for x
    x = 197,142,343,986.14/509,696.32
  6. Step 6: Final answer
    x = 386,783.93

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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.