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Finding the Fourth Proportional to 527,762, 728,357.64 and 289,344.08

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Solution

The fourth proportional to 527,762, 728,357.64 and 289,344.08 is: 399,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,762 : 728,357.64 = 289,344.08 : x
  2. Step 2: Convert to fraction form
    527,762/728,357.64 = 289,344.08/x
  3. Step 3: Cross multiply
    527,762x = 728,357.64 × 289,344.08
  4. Step 4: Simplify right side
    527,762x = 210,745,971,256.77
  5. Step 5: Solve for x
    x = 210,745,971,256.77/527,762
  6. Step 6: Final answer
    x = 399,320.09

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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.