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Finding the Fourth Proportional to 651,855.40, 976,616.70 and 402,245.80

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Solution

The fourth proportional to 651,855.40, 976,616.70 and 402,245.80 is: 602,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,855.40 : 976,616.70 = 402,245.80 : x
  2. Step 2: Convert to fraction form
    651,855.40/976,616.70 = 402,245.80/x
  3. Step 3: Cross multiply
    651,855.40x = 976,616.70 × 402,245.80
  4. Step 4: Simplify right side
    651,855.40x = 392,839,965,784.86
  5. Step 5: Solve for x
    x = 392,839,965,784.86/651,855.40
  6. Step 6: Final answer
    x = 602,648.94

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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.