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Finding the Fourth Proportional to 527,984.60, 728,615.25 and 286,266.42

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Solution

The fourth proportional to 527,984.60, 728,615.25 and 286,266.42 is: 395,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,984.60 : 728,615.25 = 286,266.42 : x
  2. Step 2: Convert to fraction form
    527,984.60/728,615.25 = 286,266.42/x
  3. Step 3: Cross multiply
    527,984.60x = 728,615.25 × 286,266.42
  4. Step 4: Simplify right side
    527,984.60x = 208,578,079,174.91
  5. Step 5: Solve for x
    x = 208,578,079,174.91/527,984.60
  6. Step 6: Final answer
    x = 395,045.77

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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.