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Finding the Fourth Proportional to 538,386.57, 743,006.57 and 296,669.07

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Solution

The fourth proportional to 538,386.57, 743,006.57 and 296,669.07 is: 409,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,386.57 : 743,006.57 = 296,669.07 : x
  2. Step 2: Convert to fraction form
    538,386.57/743,006.57 = 296,669.07/x
  3. Step 3: Cross multiply
    538,386.57x = 743,006.57 × 296,669.07
  4. Step 4: Simplify right side
    538,386.57x = 220,427,066,642.45
  5. Step 5: Solve for x
    x = 220,427,066,642.45/538,386.57
  6. Step 6: Final answer
    x = 409,421.55

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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.