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Finding the Fourth Proportional to 496,005.40, 744,008.10 and 338,541.40

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Solution

The fourth proportional to 496,005.40, 744,008.10 and 338,541.40 is: 507,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,005.40 : 744,008.10 = 338,541.40 : x
  2. Step 2: Convert to fraction form
    496,005.40/744,008.10 = 338,541.40/x
  3. Step 3: Cross multiply
    496,005.40x = 744,008.10 × 338,541.40
  4. Step 4: Simplify right side
    496,005.40x = 251,877,543,785.34
  5. Step 5: Solve for x
    x = 251,877,543,785.34/496,005.40
  6. Step 6: Final answer
    x = 507,812.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.