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Finding the Fourth Proportional to 642,798.16, 963,808.32 and 287,746

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Solution

The fourth proportional to 642,798.16, 963,808.32 and 287,746 is: 431,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,798.16 : 963,808.32 = 287,746 : x
  2. Step 2: Convert to fraction form
    642,798.16/963,808.32 = 287,746/x
  3. Step 3: Cross multiply
    642,798.16x = 963,808.32 × 287,746
  4. Step 4: Simplify right side
    642,798.16x = 277,331,988,846.72
  5. Step 5: Solve for x
    x = 277,331,988,846.72/642,798.16
  6. Step 6: Final answer
    x = 431,444.90

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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.