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Finding the Fourth Proportional to 559,465.14, 772,347.81 and 379,129.86

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Solution

The fourth proportional to 559,465.14, 772,347.81 and 379,129.86 is: 523,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,465.14 : 772,347.81 = 379,129.86 : x
  2. Step 2: Convert to fraction form
    559,465.14/772,347.81 = 379,129.86/x
  3. Step 3: Cross multiply
    559,465.14x = 772,347.81 × 379,129.86
  4. Step 4: Simplify right side
    559,465.14x = 292,820,117,076.61
  5. Step 5: Solve for x
    x = 292,820,117,076.61/559,465.14
  6. Step 6: Final answer
    x = 523,392.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.