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Finding the Fourth Proportional to 480,780, 663,397.20 and 265,878

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Solution

The fourth proportional to 480,780, 663,397.20 and 265,878 is: 366,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,780 : 663,397.20 = 265,878 : x
  2. Step 2: Convert to fraction form
    480,780/663,397.20 = 265,878/x
  3. Step 3: Cross multiply
    480,780x = 663,397.20 × 265,878
  4. Step 4: Simplify right side
    480,780x = 176,382,720,741.60
  5. Step 5: Solve for x
    x = 176,382,720,741.60/480,780
  6. Step 6: Final answer
    x = 366,867.84

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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.