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Finding the Fourth Proportional to 513,011.89, 707,954.92 and 286,657.57

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Solution

The fourth proportional to 513,011.89, 707,954.92 and 286,657.57 is: 395,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,011.89 : 707,954.92 = 286,657.57 : x
  2. Step 2: Convert to fraction form
    513,011.89/707,954.92 = 286,657.57/x
  3. Step 3: Cross multiply
    513,011.89x = 707,954.92 × 286,657.57
  4. Step 4: Simplify right side
    513,011.89x = 202,940,637,036.74
  5. Step 5: Solve for x
    x = 202,940,637,036.74/513,011.89
  6. Step 6: Final answer
    x = 395,586.62

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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.