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Finding the Fourth Proportional to 513,071.72, 708,033.84 and 286,717.22

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Solution

The fourth proportional to 513,071.72, 708,033.84 and 286,717.22 is: 395,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,071.72 : 708,033.84 = 286,717.22 : x
  2. Step 2: Convert to fraction form
    513,071.72/708,033.84 = 286,717.22/x
  3. Step 3: Cross multiply
    513,071.72x = 708,033.84 × 286,717.22
  4. Step 4: Simplify right side
    513,071.72x = 203,005,494,270.73
  5. Step 5: Solve for x
    x = 203,005,494,270.73/513,071.72
  6. Step 6: Final answer
    x = 395,666.89

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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.