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Finding the Fourth Proportional to 538,113.72, 742,602.06 and 296,397.30

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Solution

The fourth proportional to 538,113.72, 742,602.06 and 296,397.30 is: 409,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,113.72 : 742,602.06 = 296,397.30 : x
  2. Step 2: Convert to fraction form
    538,113.72/742,602.06 = 296,397.30/x
  3. Step 3: Cross multiply
    538,113.72x = 742,602.06 × 296,397.30
  4. Step 4: Simplify right side
    538,113.72x = 220,105,245,558.44
  5. Step 5: Solve for x
    x = 220,105,245,558.44/538,113.72
  6. Step 6: Final answer
    x = 409,031.10

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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.