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Finding the Fourth Proportional to 288,030.60, 431,681.40 and 110,300.40

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Solution

The fourth proportional to 288,030.60, 431,681.40 and 110,300.40 is: 165,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,030.60 : 431,681.40 = 110,300.40 : x
  2. Step 2: Convert to fraction form
    288,030.60/431,681.40 = 110,300.40/x
  3. Step 3: Cross multiply
    288,030.60x = 431,681.40 × 110,300.40
  4. Step 4: Simplify right side
    288,030.60x = 47,614,631,092.56
  5. Step 5: Solve for x
    x = 47,614,631,092.56/288,030.60
  6. Step 6: Final answer
    x = 165,311.02

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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.