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Finding the Fourth Proportional to 357,276.83, 535,507.54 and 143,908.10

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Solution

The fourth proportional to 357,276.83, 535,507.54 and 143,908.10 is: 215,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,276.83 : 535,507.54 = 143,908.10 : x
  2. Step 2: Convert to fraction form
    357,276.83/535,507.54 = 143,908.10/x
  3. Step 3: Cross multiply
    357,276.83x = 535,507.54 × 143,908.10
  4. Step 4: Simplify right side
    357,276.83x = 77,063,872,617.07
  5. Step 5: Solve for x
    x = 77,063,872,617.07/357,276.83
  6. Step 6: Final answer
    x = 215,697.93

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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.