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Finding the Fourth Proportional to 387,904.83, 580,612.70 and 207,539.07

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Solution

The fourth proportional to 387,904.83, 580,612.70 and 207,539.07 is: 310,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,904.83 : 580,612.70 = 207,539.07 : x
  2. Step 2: Convert to fraction form
    387,904.83/580,612.70 = 207,539.07/x
  3. Step 3: Cross multiply
    387,904.83x = 580,612.70 × 207,539.07
  4. Step 4: Simplify right side
    387,904.83x = 120,499,818,750.49
  5. Step 5: Solve for x
    x = 120,499,818,750.49/387,904.83
  6. Step 6: Final answer
    x = 310,642.74

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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.