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Finding the Fourth Proportional to 288,260.40, 433,427.40 and 242,641.20

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Solution

The fourth proportional to 288,260.40, 433,427.40 and 242,641.20 is: 364,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,260.40 : 433,427.40 = 242,641.20 : x
  2. Step 2: Convert to fraction form
    288,260.40/433,427.40 = 242,641.20/x
  3. Step 3: Cross multiply
    288,260.40x = 433,427.40 × 242,641.20
  4. Step 4: Simplify right side
    288,260.40x = 105,167,344,448.88
  5. Step 5: Solve for x
    x = 105,167,344,448.88/288,260.40
  6. Step 6: Final answer
    x = 364,834.52

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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.