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Finding the Fourth Proportional to 280,482.41, 387,014.73 and 165,780.33

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Solution

The fourth proportional to 280,482.41, 387,014.73 and 165,780.33 is: 228,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,482.41 : 387,014.73 = 165,780.33 : x
  2. Step 2: Convert to fraction form
    280,482.41/387,014.73 = 165,780.33/x
  3. Step 3: Cross multiply
    280,482.41x = 387,014.73 × 165,780.33
  4. Step 4: Simplify right side
    280,482.41x = 64,159,429,654.26
  5. Step 5: Solve for x
    x = 64,159,429,654.26/280,482.41
  6. Step 6: Final answer
    x = 228,746.72

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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.