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Finding the Fourth Proportional to 357,276.52, 535,507.10 and 143,907.86

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Solution

The fourth proportional to 357,276.52, 535,507.10 and 143,907.86 is: 215,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,276.52 : 535,507.10 = 143,907.86 : x
  2. Step 2: Convert to fraction form
    357,276.52/535,507.10 = 143,907.86/x
  3. Step 3: Cross multiply
    357,276.52x = 535,507.10 × 143,907.86
  4. Step 4: Simplify right side
    357,276.52x = 77,063,680,775.81
  5. Step 5: Solve for x
    x = 77,063,680,775.81/357,276.52
  6. Step 6: Final answer
    x = 215,697.58

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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.