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Finding the Fourth Proportional to 278,374.96, 417,547.32 and 171,779.23

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Solution

The fourth proportional to 278,374.96, 417,547.32 and 171,779.23 is: 257,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,374.96 : 417,547.32 = 171,779.23 : x
  2. Step 2: Convert to fraction form
    278,374.96/417,547.32 = 171,779.23/x
  3. Step 3: Cross multiply
    278,374.96x = 417,547.32 × 171,779.23
  4. Step 4: Simplify right side
    278,374.96x = 71,725,957,118.16
  5. Step 5: Solve for x
    x = 71,725,957,118.16/278,374.96
  6. Step 6: Final answer
    x = 257,659.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.