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Finding the Fourth Proportional to 355,965.60, 533,948.40 and 145,533.60

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Solution

The fourth proportional to 355,965.60, 533,948.40 and 145,533.60 is: 218,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,965.60 : 533,948.40 = 145,533.60 : x
  2. Step 2: Convert to fraction form
    355,965.60/533,948.40 = 145,533.60/x
  3. Step 3: Cross multiply
    355,965.60x = 533,948.40 × 145,533.60
  4. Step 4: Simplify right side
    355,965.60x = 77,707,432,866.24
  5. Step 5: Solve for x
    x = 77,707,432,866.24/355,965.60
  6. Step 6: Final answer
    x = 218,300.40

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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.