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Finding the Fourth Proportional to 513,762.89, 708,967.49 and 284,315.94

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Solution

The fourth proportional to 513,762.89, 708,967.49 and 284,315.94 is: 392,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,762.89 : 708,967.49 = 284,315.94 : x
  2. Step 2: Convert to fraction form
    513,762.89/708,967.49 = 284,315.94/x
  3. Step 3: Cross multiply
    513,762.89x = 708,967.49 × 284,315.94
  4. Step 4: Simplify right side
    513,762.89x = 201,570,756,927.21
  5. Step 5: Solve for x
    x = 201,570,756,927.21/513,762.89
  6. Step 6: Final answer
    x = 392,342.00

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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.