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Finding the Fourth Proportional to 712,564.59, 983,355.05 and 406,634.88

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Solution

The fourth proportional to 712,564.59, 983,355.05 and 406,634.88 is: 561,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,564.59 : 983,355.05 = 406,634.88 : x
  2. Step 2: Convert to fraction form
    712,564.59/983,355.05 = 406,634.88/x
  3. Step 3: Cross multiply
    712,564.59x = 983,355.05 × 406,634.88
  4. Step 4: Simplify right side
    712,564.59x = 399,866,455,804.19
  5. Step 5: Solve for x
    x = 399,866,455,804.19/712,564.59
  6. Step 6: Final answer
    x = 561,165.21

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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.