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Finding the Fourth Proportional to 535,406.09, 738,860.36 and 309,051.59

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Solution

The fourth proportional to 535,406.09, 738,860.36 and 309,051.59 is: 426,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,406.09 : 738,860.36 = 309,051.59 : x
  2. Step 2: Convert to fraction form
    535,406.09/738,860.36 = 309,051.59/x
  3. Step 3: Cross multiply
    535,406.09x = 738,860.36 × 309,051.59
  4. Step 4: Simplify right side
    535,406.09x = 228,345,963,806.41
  5. Step 5: Solve for x
    x = 228,345,963,806.41/535,406.09
  6. Step 6: Final answer
    x = 426,491.16

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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.