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Finding the Fourth Proportional to 510,907, 767,038.74 and 436,505.08

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Solution

The fourth proportional to 510,907, 767,038.74 and 436,505.08 is: 655,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,907 : 767,038.74 = 436,505.08 : x
  2. Step 2: Convert to fraction form
    510,907/767,038.74 = 436,505.08/x
  3. Step 3: Cross multiply
    510,907x = 767,038.74 × 436,505.08
  4. Step 4: Simplify right side
    510,907x = 334,816,306,566.80
  5. Step 5: Solve for x
    x = 334,816,306,566.80/510,907
  6. Step 6: Final answer
    x = 655,337.09

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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.