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Finding the Fourth Proportional to 559,660.12, 772,308.48 and 305,005.84

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Solution

The fourth proportional to 559,660.12, 772,308.48 and 305,005.84 is: 420,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,660.12 : 772,308.48 = 305,005.84 : x
  2. Step 2: Convert to fraction form
    559,660.12/772,308.48 = 305,005.84/x
  3. Step 3: Cross multiply
    559,660.12x = 772,308.48 × 305,005.84
  4. Step 4: Simplify right side
    559,660.12x = 235,558,596,681.52
  5. Step 5: Solve for x
    x = 235,558,596,681.52/559,660.12
  6. Step 6: Final answer
    x = 420,895.80

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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.