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Finding the Fourth Proportional to 457,941.66, 686,772.45 and 316,694.67

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Solution

The fourth proportional to 457,941.66, 686,772.45 and 316,694.67 is: 474,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,941.66 : 686,772.45 = 316,694.67 : x
  2. Step 2: Convert to fraction form
    457,941.66/686,772.45 = 316,694.67/x
  3. Step 3: Cross multiply
    457,941.66x = 686,772.45 × 316,694.67
  4. Step 4: Simplify right side
    457,941.66x = 217,497,174,417.84
  5. Step 5: Solve for x
    x = 217,497,174,417.84/457,941.66
  6. Step 6: Final answer
    x = 474,945.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.