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Finding the Fourth Proportional to 540,357.48, 745,721.64 and 310,949.69

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Solution

The fourth proportional to 540,357.48, 745,721.64 and 310,949.69 is: 429,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,357.48 : 745,721.64 = 310,949.69 : x
  2. Step 2: Convert to fraction form
    540,357.48/745,721.64 = 310,949.69/x
  3. Step 3: Cross multiply
    540,357.48x = 745,721.64 × 310,949.69
  4. Step 4: Simplify right side
    540,357.48x = 231,881,909,055.68
  5. Step 5: Solve for x
    x = 231,881,909,055.68/540,357.48
  6. Step 6: Final answer
    x = 429,126.86

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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.