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Finding the Fourth Proportional to 287,883.60, 431,695.80 and 130,030.80

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Solution

The fourth proportional to 287,883.60, 431,695.80 and 130,030.80 is: 194,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,883.60 : 431,695.80 = 130,030.80 : x
  2. Step 2: Convert to fraction form
    287,883.60/431,695.80 = 130,030.80/x
  3. Step 3: Cross multiply
    287,883.60x = 431,695.80 × 130,030.80
  4. Step 4: Simplify right side
    287,883.60x = 56,133,750,230.64
  5. Step 5: Solve for x
    x = 56,133,750,230.64/287,883.60
  6. Step 6: Final answer
    x = 194,987.66

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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.