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Finding the Fourth Proportional to 545,085.06, 751,790.61 and 354,160.50

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Solution

The fourth proportional to 545,085.06, 751,790.61 and 354,160.50 is: 488,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,085.06 : 751,790.61 = 354,160.50 : x
  2. Step 2: Convert to fraction form
    545,085.06/751,790.61 = 354,160.50/x
  3. Step 3: Cross multiply
    545,085.06x = 751,790.61 × 354,160.50
  4. Step 4: Simplify right side
    545,085.06x = 266,254,538,332.91
  5. Step 5: Solve for x
    x = 266,254,538,332.91/545,085.06
  6. Step 6: Final answer
    x = 488,464.20

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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.