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Finding the Fourth Proportional to 513,010, 707,953.80 and 286,655.52

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Solution

The fourth proportional to 513,010, 707,953.80 and 286,655.52 is: 395,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,010 : 707,953.80 = 286,655.52 : x
  2. Step 2: Convert to fraction form
    513,010/707,953.80 = 286,655.52/x
  3. Step 3: Cross multiply
    513,010x = 707,953.80 × 286,655.52
  4. Step 4: Simplify right side
    513,010x = 202,938,864,674.98
  5. Step 5: Solve for x
    x = 202,938,864,674.98/513,010
  6. Step 6: Final answer
    x = 395,584.62

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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.