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Finding the Fourth Proportional to 611,987.84, 918,255 and 312,310.64

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Solution

The fourth proportional to 611,987.84, 918,255 and 312,310.64 is: 468,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,987.84 : 918,255 = 312,310.64 : x
  2. Step 2: Convert to fraction form
    611,987.84/918,255 = 312,310.64/x
  3. Step 3: Cross multiply
    611,987.84x = 918,255 × 312,310.64
  4. Step 4: Simplify right side
    611,987.84x = 286,780,806,733.20
  5. Step 5: Solve for x
    x = 286,780,806,733.20/611,987.84
  6. Step 6: Final answer
    x = 468,605.40

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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.