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Finding the Fourth Proportional to 520,084.65, 780,126.98 and 520,084.65

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Solution

The fourth proportional to 520,084.65, 780,126.98 and 520,084.65 is: 780,126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,084.65 : 780,126.98 = 520,084.65 : x
  2. Step 2: Convert to fraction form
    520,084.65/780,126.98 = 520,084.65/x
  3. Step 3: Cross multiply
    520,084.65x = 780,126.98 × 520,084.65
  4. Step 4: Simplify right side
    520,084.65x = 405,732,064,748.43
  5. Step 5: Solve for x
    x = 405,732,064,748.43/520,084.65
  6. Step 6: Final answer
    x = 780,126.98

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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.