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Finding the Fourth Proportional to 348,538.40, 522,807.60 and 310,484.60

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Solution

The fourth proportional to 348,538.40, 522,807.60 and 310,484.60 is: 465,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,538.40 : 522,807.60 = 310,484.60 : x
  2. Step 2: Convert to fraction form
    348,538.40/522,807.60 = 310,484.60/x
  3. Step 3: Cross multiply
    348,538.40x = 522,807.60 × 310,484.60
  4. Step 4: Simplify right side
    348,538.40x = 162,323,708,562.96
  5. Step 5: Solve for x
    x = 162,323,708,562.96/348,538.40
  6. Step 6: Final answer
    x = 465,726.90

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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.