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Finding the Fourth Proportional to 571,081.64, 788,075.60 and 312,955.50

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Solution

The fourth proportional to 571,081.64, 788,075.60 and 312,955.50 is: 431,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,081.64 : 788,075.60 = 312,955.50 : x
  2. Step 2: Convert to fraction form
    571,081.64/788,075.60 = 312,955.50/x
  3. Step 3: Cross multiply
    571,081.64x = 788,075.60 × 312,955.50
  4. Step 4: Simplify right side
    571,081.64x = 246,632,591,871.02
  5. Step 5: Solve for x
    x = 246,632,591,871.02/571,081.64
  6. Step 6: Final answer
    x = 431,869.24

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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.