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Finding the Fourth Proportional to 513,475.67, 708,541.88 and 283,996.50

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Solution

The fourth proportional to 513,475.67, 708,541.88 and 283,996.50 is: 391,885.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,475.67 : 708,541.88 = 283,996.50 : x
  2. Step 2: Convert to fraction form
    513,475.67/708,541.88 = 283,996.50/x
  3. Step 3: Cross multiply
    513,475.67x = 708,541.88 × 283,996.50
  4. Step 4: Simplify right side
    513,475.67x = 201,223,412,603.44
  5. Step 5: Solve for x
    x = 201,223,412,603.44/513,475.67
  6. Step 6: Final answer
    x = 391,885.00

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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.