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Finding the Fourth Proportional to 530,128.32, 795,188.76 and 214,580.64

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Solution

The fourth proportional to 530,128.32, 795,188.76 and 214,580.64 is: 321,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,128.32 : 795,188.76 = 214,580.64 : x
  2. Step 2: Convert to fraction form
    530,128.32/795,188.76 = 214,580.64/x
  3. Step 3: Cross multiply
    530,128.32x = 795,188.76 × 214,580.64
  4. Step 4: Simplify right side
    530,128.32x = 170,632,113,041.61
  5. Step 5: Solve for x
    x = 170,632,113,041.61/530,128.32
  6. Step 6: Final answer
    x = 321,869.45

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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.