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Finding the Fourth Proportional to 493,681.80, 740,868.30 and 213,400.20

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Solution

The fourth proportional to 493,681.80, 740,868.30 and 213,400.20 is: 320,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,681.80 : 740,868.30 = 213,400.20 : x
  2. Step 2: Convert to fraction form
    493,681.80/740,868.30 = 213,400.20/x
  3. Step 3: Cross multiply
    493,681.80x = 740,868.30 × 213,400.20
  4. Step 4: Simplify right side
    493,681.80x = 158,101,443,393.66
  5. Step 5: Solve for x
    x = 158,101,443,393.66/493,681.80
  6. Step 6: Final answer
    x = 320,249.69

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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.