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Finding the Fourth Proportional to 513,487.06, 770,300.65 and 213,897.58

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Solution

The fourth proportional to 513,487.06, 770,300.65 and 213,897.58 is: 320,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,487.06 : 770,300.65 = 213,897.58 : x
  2. Step 2: Convert to fraction form
    513,487.06/770,300.65 = 213,897.58/x
  3. Step 3: Cross multiply
    513,487.06x = 770,300.65 × 213,897.58
  4. Step 4: Simplify right side
    513,487.06x = 164,765,441,055.92
  5. Step 5: Solve for x
    x = 164,765,441,055.92/513,487.06
  6. Step 6: Final answer
    x = 320,875.55

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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.