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Finding the Fourth Proportional to 527,143.16, 727,509.72 and 300,822.68

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Solution

The fourth proportional to 527,143.16, 727,509.72 and 300,822.68 is: 415,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,143.16 : 727,509.72 = 300,822.68 : x
  2. Step 2: Convert to fraction form
    527,143.16/727,509.72 = 300,822.68/x
  3. Step 3: Cross multiply
    527,143.16x = 727,509.72 × 300,822.68
  4. Step 4: Simplify right side
    527,143.16x = 218,851,423,696.45
  5. Step 5: Solve for x
    x = 218,851,423,696.45/527,143.16
  6. Step 6: Final answer
    x = 415,165.06

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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.