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Finding the Fourth Proportional to 514,730.60, 772,787.10 and 328,567.40

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Solution

The fourth proportional to 514,730.60, 772,787.10 and 328,567.40 is: 493,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,730.60 : 772,787.10 = 328,567.40 : x
  2. Step 2: Convert to fraction form
    514,730.60/772,787.10 = 328,567.40/x
  3. Step 3: Cross multiply
    514,730.60x = 772,787.10 × 328,567.40
  4. Step 4: Simplify right side
    514,730.60x = 253,912,648,200.54
  5. Step 5: Solve for x
    x = 253,912,648,200.54/514,730.60
  6. Step 6: Final answer
    x = 493,292.31

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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.