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Finding the Fourth Proportional to 560,970.88, 840,833 and 427,410.80

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Solution

The fourth proportional to 560,970.88, 840,833 and 427,410.80 is: 640,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,970.88 : 840,833 = 427,410.80 : x
  2. Step 2: Convert to fraction form
    560,970.88/840,833 = 427,410.80/x
  3. Step 3: Cross multiply
    560,970.88x = 840,833 × 427,410.80
  4. Step 4: Simplify right side
    560,970.88x = 359,381,105,196.40
  5. Step 5: Solve for x
    x = 359,381,105,196.40/560,970.88
  6. Step 6: Final answer
    x = 640,641.28

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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.