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Finding the Fourth Proportional to 712,643.08, 983,173.81 and 406,736.46

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Solution

The fourth proportional to 712,643.08, 983,173.81 and 406,736.46 is: 561,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,643.08 : 983,173.81 = 406,736.46 : x
  2. Step 2: Convert to fraction form
    712,643.08/983,173.81 = 406,736.46/x
  3. Step 3: Cross multiply
    712,643.08x = 983,173.81 × 406,736.46
  4. Step 4: Simplify right side
    712,643.08x = 399,892,635,044.11
  5. Step 5: Solve for x
    x = 399,892,635,044.11/712,643.08
  6. Step 6: Final answer
    x = 561,140.14

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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.