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Finding the Fourth Proportional to 538,565.36, 743,176.50 and 312,225.44

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Solution

The fourth proportional to 538,565.36, 743,176.50 and 312,225.44 is: 430,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,565.36 : 743,176.50 = 312,225.44 : x
  2. Step 2: Convert to fraction form
    538,565.36/743,176.50 = 312,225.44/x
  3. Step 3: Cross multiply
    538,565.36x = 743,176.50 × 312,225.44
  4. Step 4: Simplify right side
    538,565.36x = 232,038,609,710.16
  5. Step 5: Solve for x
    x = 232,038,609,710.16/538,565.36
  6. Step 6: Final answer
    x = 430,845.77

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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.