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Finding the Fourth Proportional to 513,692.77, 708,896.88 and 284,259.72

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Solution

The fourth proportional to 513,692.77, 708,896.88 and 284,259.72 is: 392,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,692.77 : 708,896.88 = 284,259.72 : x
  2. Step 2: Convert to fraction form
    513,692.77/708,896.88 = 284,259.72/x
  3. Step 3: Cross multiply
    513,692.77x = 708,896.88 × 284,259.72
  4. Step 4: Simplify right side
    513,692.77x = 201,510,828,617.67
  5. Step 5: Solve for x
    x = 201,510,828,617.67/513,692.77
  6. Step 6: Final answer
    x = 392,278.89

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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.