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Finding the Fourth Proportional to 419,088.77, 578,354.83 and 296,799.93

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Solution

The fourth proportional to 419,088.77, 578,354.83 and 296,799.93 is: 409,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,088.77 : 578,354.83 = 296,799.93 : x
  2. Step 2: Convert to fraction form
    419,088.77/578,354.83 = 296,799.93/x
  3. Step 3: Cross multiply
    419,088.77x = 578,354.83 × 296,799.93
  4. Step 4: Simplify right side
    419,088.77x = 171,655,670,167.39
  5. Step 5: Solve for x
    x = 171,655,670,167.39/419,088.77
  6. Step 6: Final answer
    x = 409,592.63

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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.