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Finding the Fourth Proportional to 538,156.72, 742,661.40 and 296,440.40

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Solution

The fourth proportional to 538,156.72, 742,661.40 and 296,440.40 is: 409,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,156.72 : 742,661.40 = 296,440.40 : x
  2. Step 2: Convert to fraction form
    538,156.72/742,661.40 = 296,440.40/x
  3. Step 3: Cross multiply
    538,156.72x = 742,661.40 × 296,440.40
  4. Step 4: Simplify right side
    538,156.72x = 220,154,842,480.56
  5. Step 5: Solve for x
    x = 220,154,842,480.56/538,156.72
  6. Step 6: Final answer
    x = 409,090.58

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1.5x scale

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.