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Finding the Fourth Proportional to 540,021.40, 808,865.70 and 290,411.80

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Solution

The fourth proportional to 540,021.40, 808,865.70 and 290,411.80 is: 434,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,021.40 : 808,865.70 = 290,411.80 : x
  2. Step 2: Convert to fraction form
    540,021.40/808,865.70 = 290,411.80/x
  3. Step 3: Cross multiply
    540,021.40x = 808,865.70 × 290,411.80
  4. Step 4: Simplify right side
    540,021.40x = 234,904,143,895.26
  5. Step 5: Solve for x
    x = 234,904,143,895.26/540,021.40
  6. Step 6: Final answer
    x = 434,990.44

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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.