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Finding the Fourth Proportional to 287,710.40, 431,565.60 and 182,993.60

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Solution

The fourth proportional to 287,710.40, 431,565.60 and 182,993.60 is: 274,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,710.40 : 431,565.60 = 182,993.60 : x
  2. Step 2: Convert to fraction form
    287,710.40/431,565.60 = 182,993.60/x
  3. Step 3: Cross multiply
    287,710.40x = 431,565.60 × 182,993.60
  4. Step 4: Simplify right side
    287,710.40x = 78,973,742,780.16
  5. Step 5: Solve for x
    x = 78,973,742,780.16/287,710.40
  6. Step 6: Final answer
    x = 274,490.40

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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.