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Finding the Fourth Proportional to 647,984.64, 894,206.28 and 357,623.52

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Solution

The fourth proportional to 647,984.64, 894,206.28 and 357,623.52 is: 493,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,984.64 : 894,206.28 = 357,623.52 : x
  2. Step 2: Convert to fraction form
    647,984.64/894,206.28 = 357,623.52/x
  3. Step 3: Cross multiply
    647,984.64x = 894,206.28 × 357,623.52
  4. Step 4: Simplify right side
    647,984.64x = 319,789,197,459.71
  5. Step 5: Solve for x
    x = 319,789,197,459.71/647,984.64
  6. Step 6: Final answer
    x = 493,513.55

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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.