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Finding the Fourth Proportional to 555,836.80, 767,051.52 and 314,197.60

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Solution

The fourth proportional to 555,836.80, 767,051.52 and 314,197.60 is: 433,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,836.80 : 767,051.52 = 314,197.60 : x
  2. Step 2: Convert to fraction form
    555,836.80/767,051.52 = 314,197.60/x
  3. Step 3: Cross multiply
    555,836.80x = 767,051.52 × 314,197.60
  4. Step 4: Simplify right side
    555,836.80x = 241,005,746,660.35
  5. Step 5: Solve for x
    x = 241,005,746,660.35/555,836.80
  6. Step 6: Final answer
    x = 433,590.84

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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.