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Finding the Fourth Proportional to 546,738, 820,114.32 and 191,762.40

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Solution

The fourth proportional to 546,738, 820,114.32 and 191,762.40 is: 287,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,738 : 820,114.32 = 191,762.40 : x
  2. Step 2: Convert to fraction form
    546,738/820,114.32 = 191,762.40/x
  3. Step 3: Cross multiply
    546,738x = 820,114.32 × 191,762.40
  4. Step 4: Simplify right side
    546,738x = 157,267,090,277.57
  5. Step 5: Solve for x
    x = 157,267,090,277.57/546,738
  6. Step 6: Final answer
    x = 287,646.17

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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.