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Finding the Fourth Proportional to 1,984,239.40, 2,976,292.68 and 862,308.40

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Solution

The fourth proportional to 1,984,239.40, 2,976,292.68 and 862,308.40 is: 1,293,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,239.40 : 2,976,292.68 = 862,308.40 : x
  2. Step 2: Convert to fraction form
    1,984,239.40/2,976,292.68 = 862,308.40/x
  3. Step 3: Cross multiply
    1,984,239.40x = 2,976,292.68 × 862,308.40
  4. Step 4: Simplify right side
    1,984,239.40x = 2,566,482,178,822.51
  5. Step 5: Solve for x
    x = 2,566,482,178,822.51/1,984,239.40
  6. Step 6: Final answer
    x = 1,293,433.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.