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Finding the Fourth Proportional to 493,802.19, 681,196.64 and 312,208.29

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Solution

The fourth proportional to 493,802.19, 681,196.64 and 312,208.29 is: 430,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,802.19 : 681,196.64 = 312,208.29 : x
  2. Step 2: Convert to fraction form
    493,802.19/681,196.64 = 312,208.29/x
  3. Step 3: Cross multiply
    493,802.19x = 681,196.64 × 312,208.29
  4. Step 4: Simplify right side
    493,802.19x = 212,675,236,567.10
  5. Step 5: Solve for x
    x = 212,675,236,567.10/493,802.19
  6. Step 6: Final answer
    x = 430,689.13

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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.