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Finding the Fourth Proportional to 712,564.34, 983,354.70 and 406,634.63

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Solution

The fourth proportional to 712,564.34, 983,354.70 and 406,634.63 is: 561,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,564.34 : 983,354.70 = 406,634.63 : x
  2. Step 2: Convert to fraction form
    712,564.34/983,354.70 = 406,634.63/x
  3. Step 3: Cross multiply
    712,564.34x = 983,354.70 × 406,634.63
  4. Step 4: Simplify right side
    712,564.34x = 399,866,069,676.49
  5. Step 5: Solve for x
    x = 399,866,069,676.49/712,564.34
  6. Step 6: Final answer
    x = 561,164.87

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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.