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Finding the Fourth Proportional to 357,172.32, 535,857.36 and 290,447.52

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Solution

The fourth proportional to 357,172.32, 535,857.36 and 290,447.52 is: 435,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,172.32 : 535,857.36 = 290,447.52 : x
  2. Step 2: Convert to fraction form
    357,172.32/535,857.36 = 290,447.52/x
  3. Step 3: Cross multiply
    357,172.32x = 535,857.36 × 290,447.52
  4. Step 4: Simplify right side
    357,172.32x = 155,638,441,285.75
  5. Step 5: Solve for x
    x = 155,638,441,285.75/357,172.32
  6. Step 6: Final answer
    x = 435,751.69

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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.