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Finding the Fourth Proportional to 510,912, 767,046.24 and 436,510.08

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Solution

The fourth proportional to 510,912, 767,046.24 and 436,510.08 is: 655,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,912 : 767,046.24 = 436,510.08 : x
  2. Step 2: Convert to fraction form
    510,912/767,046.24 = 436,510.08/x
  3. Step 3: Cross multiply
    510,912x = 767,046.24 × 436,510.08
  4. Step 4: Simplify right side
    510,912x = 334,823,415,586.10
  5. Step 5: Solve for x
    x = 334,823,415,586.10/510,912
  6. Step 6: Final answer
    x = 655,344.59

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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.