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Finding the Fourth Proportional to 712,644.47, 983,175.70 and 406,737.84

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Solution

The fourth proportional to 712,644.47, 983,175.70 and 406,737.84 is: 561,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,644.47 : 983,175.70 = 406,737.84 : x
  2. Step 2: Convert to fraction form
    712,644.47/983,175.70 = 406,737.84/x
  3. Step 3: Cross multiply
    712,644.47x = 983,175.70 × 406,737.84
  4. Step 4: Simplify right side
    712,644.47x = 399,894,760,558.49
  5. Step 5: Solve for x
    x = 399,894,760,558.49/712,644.47
  6. Step 6: Final answer
    x = 561,142.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.