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Finding the Fourth Proportional to 538,334.76, 742,898.28 and 296,611.71

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Solution

The fourth proportional to 538,334.76, 742,898.28 and 296,611.71 is: 409,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,334.76 : 742,898.28 = 296,611.71 : x
  2. Step 2: Convert to fraction form
    538,334.76/742,898.28 = 296,611.71/x
  3. Step 3: Cross multiply
    538,334.76x = 742,898.28 × 296,611.71
  4. Step 4: Simplify right side
    538,334.76x = 220,352,329,186.86
  5. Step 5: Solve for x
    x = 220,352,329,186.86/538,334.76
  6. Step 6: Final answer
    x = 409,322.13

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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.