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Finding the Fourth Proportional to 712,986, 983,920.68 and 426,518.16

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Solution

The fourth proportional to 712,986, 983,920.68 and 426,518.16 is: 588,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,986 : 983,920.68 = 426,518.16 : x
  2. Step 2: Convert to fraction form
    712,986/983,920.68 = 426,518.16/x
  3. Step 3: Cross multiply
    712,986x = 983,920.68 × 426,518.16
  4. Step 4: Simplify right side
    712,986x = 419,660,038,019.55
  5. Step 5: Solve for x
    x = 419,660,038,019.55/712,986
  6. Step 6: Final answer
    x = 588,595.06

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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.