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Finding the Fourth Proportional to 357,135.48, 535,703.22 and 278,308.71

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Solution

The fourth proportional to 357,135.48, 535,703.22 and 278,308.71 is: 417,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,135.48 : 535,703.22 = 278,308.71 : x
  2. Step 2: Convert to fraction form
    357,135.48/535,703.22 = 278,308.71/x
  3. Step 3: Cross multiply
    357,135.48x = 535,703.22 × 278,308.71
  4. Step 4: Simplify right side
    357,135.48x = 149,090,872,101.05
  5. Step 5: Solve for x
    x = 149,090,872,101.05/357,135.48
  6. Step 6: Final answer
    x = 417,463.07

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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.