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Finding the Fourth Proportional to 545,188.32, 817,523.76 and 190,159.20

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Solution

The fourth proportional to 545,188.32, 817,523.76 and 190,159.20 is: 285,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,188.32 : 817,523.76 = 190,159.20 : x
  2. Step 2: Convert to fraction form
    545,188.32/817,523.76 = 190,159.20/x
  3. Step 3: Cross multiply
    545,188.32x = 817,523.76 × 190,159.20
  4. Step 4: Simplify right side
    545,188.32x = 155,459,664,182.59
  5. Step 5: Solve for x
    x = 155,459,664,182.59/545,188.32
  6. Step 6: Final answer
    x = 285,148.56

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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.