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Finding the Fourth Proportional to 527,501.88, 727,952.76 and 285,786

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Solution

The fourth proportional to 527,501.88, 727,952.76 and 285,786 is: 394,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,501.88 : 727,952.76 = 285,786 : x
  2. Step 2: Convert to fraction form
    527,501.88/727,952.76 = 285,786/x
  3. Step 3: Cross multiply
    527,501.88x = 727,952.76 × 285,786
  4. Step 4: Simplify right side
    527,501.88x = 208,038,707,469.36
  5. Step 5: Solve for x
    x = 208,038,707,469.36/527,501.88
  6. Step 6: Final answer
    x = 394,384.77

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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.