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Finding the Fourth Proportional to 646,999.70, 971,374.35 and 410,803.70

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Solution

The fourth proportional to 646,999.70, 971,374.35 and 410,803.70 is: 616,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,999.70 : 971,374.35 = 410,803.70 : x
  2. Step 2: Convert to fraction form
    646,999.70/971,374.35 = 410,803.70/x
  3. Step 3: Cross multiply
    646,999.70x = 971,374.35 × 410,803.70
  4. Step 4: Simplify right side
    646,999.70x = 399,044,177,065.10
  5. Step 5: Solve for x
    x = 399,044,177,065.10/646,999.70
  6. Step 6: Final answer
    x = 616,760.99

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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.