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Finding the Fourth Proportional to 610,876.80, 916,898.40 and 311,695.20

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Solution

The fourth proportional to 610,876.80, 916,898.40 and 311,695.20 is: 467,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,876.80 : 916,898.40 = 311,695.20 : x
  2. Step 2: Convert to fraction form
    610,876.80/916,898.40 = 311,695.20/x
  3. Step 3: Cross multiply
    610,876.80x = 916,898.40 × 311,695.20
  4. Step 4: Simplify right side
    610,876.80x = 285,792,830,167.68
  5. Step 5: Solve for x
    x = 285,792,830,167.68/610,876.80
  6. Step 6: Final answer
    x = 467,840.37

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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.