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Finding the Fourth Proportional to 778,509.04, 1,074,342 and 420,813.04

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Solution

The fourth proportional to 778,509.04, 1,074,342 and 420,813.04 is: 580,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,509.04 : 1,074,342 = 420,813.04 : x
  2. Step 2: Convert to fraction form
    778,509.04/1,074,342 = 420,813.04/x
  3. Step 3: Cross multiply
    778,509.04x = 1,074,342 × 420,813.04
  4. Step 4: Simplify right side
    778,509.04x = 452,097,123,019.68
  5. Step 5: Solve for x
    x = 452,097,123,019.68/778,509.04
  6. Step 6: Final answer
    x = 580,721.74

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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.