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Finding the Fourth Proportional to 280,594.60, 387,124.50 and 159,705.64

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Solution

The fourth proportional to 280,594.60, 387,124.50 and 159,705.64 is: 220,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,594.60 : 387,124.50 = 159,705.64 : x
  2. Step 2: Convert to fraction form
    280,594.60/387,124.50 = 159,705.64/x
  3. Step 3: Cross multiply
    280,594.60x = 387,124.50 × 159,705.64
  4. Step 4: Simplify right side
    280,594.60x = 61,825,966,032.18
  5. Step 5: Solve for x
    x = 61,825,966,032.18/280,594.60
  6. Step 6: Final answer
    x = 220,339.12

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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.