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Finding the Fourth Proportional to 712,871.64, 983,762.58 and 426,459

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Solution

The fourth proportional to 712,871.64, 983,762.58 and 426,459 is: 588,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,871.64 : 983,762.58 = 426,459 : x
  2. Step 2: Convert to fraction form
    712,871.64/983,762.58 = 426,459/x
  3. Step 3: Cross multiply
    712,871.64x = 983,762.58 × 426,459
  4. Step 4: Simplify right side
    712,871.64x = 419,534,406,104.22
  5. Step 5: Solve for x
    x = 419,534,406,104.22/712,871.64
  6. Step 6: Final answer
    x = 588,513.25

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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.