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Finding the Fourth Proportional to 387,678.69, 580,924.47 and 260,849.16

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Solution

The fourth proportional to 387,678.69, 580,924.47 and 260,849.16 is: 390,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,678.69 : 580,924.47 = 260,849.16 : x
  2. Step 2: Convert to fraction form
    387,678.69/580,924.47 = 260,849.16/x
  3. Step 3: Cross multiply
    387,678.69x = 580,924.47 × 260,849.16
  4. Step 4: Simplify right side
    387,678.69x = 151,533,660,022.95
  5. Step 5: Solve for x
    x = 151,533,660,022.95/387,678.69
  6. Step 6: Final answer
    x = 390,874.36

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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.