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Finding the Fourth Proportional to 642,782.16, 963,784.32 and 287,730

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Solution

The fourth proportional to 642,782.16, 963,784.32 and 287,730 is: 431,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,782.16 : 963,784.32 = 287,730 : x
  2. Step 2: Convert to fraction form
    642,782.16/963,784.32 = 287,730/x
  3. Step 3: Cross multiply
    642,782.16x = 963,784.32 × 287,730
  4. Step 4: Simplify right side
    642,782.16x = 277,309,662,393.60
  5. Step 5: Solve for x
    x = 277,309,662,393.60/642,782.16
  6. Step 6: Final answer
    x = 431,420.91

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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.