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Finding the Fourth Proportional to 497,920.47, 745,619.46 and 308,750.31

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Solution

The fourth proportional to 497,920.47, 745,619.46 and 308,750.31 is: 462,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,920.47 : 745,619.46 = 308,750.31 : x
  2. Step 2: Convert to fraction form
    497,920.47/745,619.46 = 308,750.31/x
  3. Step 3: Cross multiply
    497,920.47x = 745,619.46 × 308,750.31
  4. Step 4: Simplify right side
    497,920.47x = 230,210,239,417.03
  5. Step 5: Solve for x
    x = 230,210,239,417.03/497,920.47
  6. Step 6: Final answer
    x = 462,343.39

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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.