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Finding the Fourth Proportional to 712,643.64, 983,463.86 and 406,713.94

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Solution

The fourth proportional to 712,643.64, 983,463.86 and 406,713.94 is: 561,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,643.64 : 983,463.86 = 406,713.94 : x
  2. Step 2: Convert to fraction form
    712,643.64/983,463.86 = 406,713.94/x
  3. Step 3: Cross multiply
    712,643.64x = 983,463.86 × 406,713.94
  4. Step 4: Simplify right side
    712,643.64x = 399,988,461,348.21
  5. Step 5: Solve for x
    x = 399,988,461,348.21/712,643.64
  6. Step 6: Final answer
    x = 561,274.16

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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.