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Finding the Fourth Proportional to 513,089.34, 708,065.91 and 286,738.62

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Solution

The fourth proportional to 513,089.34, 708,065.91 and 286,738.62 is: 395,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,089.34 : 708,065.91 = 286,738.62 : x
  2. Step 2: Convert to fraction form
    513,089.34/708,065.91 = 286,738.62/x
  3. Step 3: Cross multiply
    513,089.34x = 708,065.91 × 286,738.62
  4. Step 4: Simplify right side
    513,089.34x = 203,029,841,902.44
  5. Step 5: Solve for x
    x = 203,029,841,902.44/513,089.34
  6. Step 6: Final answer
    x = 395,700.76

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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.