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Finding the Fourth Proportional to 261,809.54, 392,703.34 and 84,312.62

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Solution

The fourth proportional to 261,809.54, 392,703.34 and 84,312.62 is: 126,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,809.54 : 392,703.34 = 84,312.62 : x
  2. Step 2: Convert to fraction form
    261,809.54/392,703.34 = 84,312.62/x
  3. Step 3: Cross multiply
    261,809.54x = 392,703.34 × 84,312.62
  4. Step 4: Simplify right side
    261,809.54x = 33,109,847,478.15
  5. Step 5: Solve for x
    x = 33,109,847,478.15/261,809.54
  6. Step 6: Final answer
    x = 126,465.40

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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.