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Finding the Fourth Proportional to 500,784.61, 691,112 and 282,987.73

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Solution

The fourth proportional to 500,784.61, 691,112 and 282,987.73 is: 390,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,784.61 : 691,112 = 282,987.73 : x
  2. Step 2: Convert to fraction form
    500,784.61/691,112 = 282,987.73/x
  3. Step 3: Cross multiply
    500,784.61x = 691,112 × 282,987.73
  4. Step 4: Simplify right side
    500,784.61x = 195,576,216,055.76
  5. Step 5: Solve for x
    x = 195,576,216,055.76/500,784.61
  6. Step 6: Final answer
    x = 390,539.59

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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.