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Finding the Fourth Proportional to 288,546.40, 432,819.60 and 164,130.40

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Solution

The fourth proportional to 288,546.40, 432,819.60 and 164,130.40 is: 246,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,546.40 : 432,819.60 = 164,130.40 : x
  2. Step 2: Convert to fraction form
    288,546.40/432,819.60 = 164,130.40/x
  3. Step 3: Cross multiply
    288,546.40x = 432,819.60 × 164,130.40
  4. Step 4: Simplify right side
    288,546.40x = 71,038,854,075.84
  5. Step 5: Solve for x
    x = 71,038,854,075.84/288,546.40
  6. Step 6: Final answer
    x = 246,195.60

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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.