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Finding the Fourth Proportional to 519,013.65, 778,146.84 and 318,920.63

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Solution

The fourth proportional to 519,013.65, 778,146.84 and 318,920.63 is: 478,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,013.65 : 778,146.84 = 318,920.63 : x
  2. Step 2: Convert to fraction form
    519,013.65/778,146.84 = 318,920.63/x
  3. Step 3: Cross multiply
    519,013.65x = 778,146.84 × 318,920.63
  4. Step 4: Simplify right side
    519,013.65x = 248,167,076,554.58
  5. Step 5: Solve for x
    x = 248,167,076,554.58/519,013.65
  6. Step 6: Final answer
    x = 478,151.35

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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.