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Finding the Fourth Proportional to 1,308,643.93, 1,962,962.91 and 410,154.13

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Solution

The fourth proportional to 1,308,643.93, 1,962,962.91 and 410,154.13 is: 615,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,643.93 : 1,962,962.91 = 410,154.13 : x
  2. Step 2: Convert to fraction form
    1,308,643.93/1,962,962.91 = 410,154.13/x
  3. Step 3: Cross multiply
    1,308,643.93x = 1,962,962.91 × 410,154.13
  4. Step 4: Simplify right side
    1,308,643.93x = 805,117,344,573.32
  5. Step 5: Solve for x
    x = 805,117,344,573.32/1,308,643.93
  6. Step 6: Final answer
    x = 615,230.26

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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.