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Finding the Fourth Proportional to 342,869.90, 513,320.70 and 210,009.65

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Solution

The fourth proportional to 342,869.90, 513,320.70 and 210,009.65 is: 314,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,869.90 : 513,320.70 = 210,009.65 : x
  2. Step 2: Convert to fraction form
    342,869.90/513,320.70 = 210,009.65/x
  3. Step 3: Cross multiply
    342,869.90x = 513,320.70 × 210,009.65
  4. Step 4: Simplify right side
    342,869.90x = 107,802,300,544.76
  5. Step 5: Solve for x
    x = 107,802,300,544.76/342,869.90
  6. Step 6: Final answer
    x = 314,411.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.