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Finding the Fourth Proportional to 497,009.52, 745,538.76 and 142,075.44

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Solution

The fourth proportional to 497,009.52, 745,538.76 and 142,075.44 is: 213,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,009.52 : 745,538.76 = 142,075.44 : x
  2. Step 2: Convert to fraction form
    497,009.52/745,538.76 = 142,075.44/x
  3. Step 3: Cross multiply
    497,009.52x = 745,538.76 × 142,075.44
  4. Step 4: Simplify right side
    497,009.52x = 105,922,747,364.05
  5. Step 5: Solve for x
    x = 105,922,747,364.05/497,009.52
  6. Step 6: Final answer
    x = 213,120.16

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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.