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Finding the Fourth Proportional to 493,543.72, 681,088.26 and 278,681.32

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Solution

The fourth proportional to 493,543.72, 681,088.26 and 278,681.32 is: 384,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,543.72 : 681,088.26 = 278,681.32 : x
  2. Step 2: Convert to fraction form
    493,543.72/681,088.26 = 278,681.32/x
  3. Step 3: Cross multiply
    493,543.72x = 681,088.26 × 278,681.32
  4. Step 4: Simplify right side
    493,543.72x = 189,806,575,333.30
  5. Step 5: Solve for x
    x = 189,806,575,333.30/493,543.72
  6. Step 6: Final answer
    x = 384,579.05

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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.