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Finding the Fourth Proportional to 519,148.90, 777,411.15 and 340,689.70

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Solution

The fourth proportional to 519,148.90, 777,411.15 and 340,689.70 is: 510,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,148.90 : 777,411.15 = 340,689.70 : x
  2. Step 2: Convert to fraction form
    519,148.90/777,411.15 = 340,689.70/x
  3. Step 3: Cross multiply
    519,148.90x = 777,411.15 × 340,689.70
  4. Step 4: Simplify right side
    519,148.90x = 264,855,971,470.16
  5. Step 5: Solve for x
    x = 264,855,971,470.16/519,148.90
  6. Step 6: Final answer
    x = 510,173.42

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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.