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Finding the Fourth Proportional to 513,259.88, 708,291.23 and 283,812.12

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Solution

The fourth proportional to 513,259.88, 708,291.23 and 283,812.12 is: 391,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,259.88 : 708,291.23 = 283,812.12 : x
  2. Step 2: Convert to fraction form
    513,259.88/708,291.23 = 283,812.12/x
  3. Step 3: Cross multiply
    513,259.88x = 708,291.23 × 283,812.12
  4. Step 4: Simplify right side
    513,259.88x = 201,021,634,144.65
  5. Step 5: Solve for x
    x = 201,021,634,144.65/513,259.88
  6. Step 6: Final answer
    x = 391,656.63

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1.5x scale

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.