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Finding the Fourth Proportional to 493,980.69, 681,442.56 and 312,386.79

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Solution

The fourth proportional to 493,980.69, 681,442.56 and 312,386.79 is: 430,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,980.69 : 681,442.56 = 312,386.79 : x
  2. Step 2: Convert to fraction form
    493,980.69/681,442.56 = 312,386.79/x
  3. Step 3: Cross multiply
    493,980.69x = 681,442.56 × 312,386.79
  4. Step 4: Simplify right side
    493,980.69x = 212,873,653,887.78
  5. Step 5: Solve for x
    x = 212,873,653,887.78/493,980.69
  6. Step 6: Final answer
    x = 430,935.17

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1.5x scale

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.