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Finding the Fourth Proportional to 527,148, 727,463.16 and 285,430.50

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Solution

The fourth proportional to 527,148, 727,463.16 and 285,430.50 is: 393,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,148 : 727,463.16 = 285,430.50 : x
  2. Step 2: Convert to fraction form
    527,148/727,463.16 = 285,430.50/x
  3. Step 3: Cross multiply
    527,148x = 727,463.16 × 285,430.50
  4. Step 4: Simplify right side
    527,148x = 207,640,173,490.38
  5. Step 5: Solve for x
    x = 207,640,173,490.38/527,148
  6. Step 6: Final answer
    x = 393,893.51

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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.