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Finding the Fourth Proportional to 677,476.62, 934,903.76 and 419,284.89

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Solution

The fourth proportional to 677,476.62, 934,903.76 and 419,284.89 is: 578,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,476.62 : 934,903.76 = 419,284.89 : x
  2. Step 2: Convert to fraction form
    677,476.62/934,903.76 = 419,284.89/x
  3. Step 3: Cross multiply
    677,476.62x = 934,903.76 × 419,284.89
  4. Step 4: Simplify right side
    677,476.62x = 391,991,018,075.76
  5. Step 5: Solve for x
    x = 391,991,018,075.76/677,476.62
  6. Step 6: Final answer
    x = 578,604.50

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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.