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Finding the Fourth Proportional to 430,076.28, 643,710.64 and 316,193.93

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Solution

The fourth proportional to 430,076.28, 643,710.64 and 316,193.93 is: 473,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,076.28 : 643,710.64 = 316,193.93 : x
  2. Step 2: Convert to fraction form
    430,076.28/643,710.64 = 316,193.93/x
  3. Step 3: Cross multiply
    430,076.28x = 643,710.64 × 316,193.93
  4. Step 4: Simplify right side
    430,076.28x = 203,537,397,044.42
  5. Step 5: Solve for x
    x = 203,537,397,044.42/430,076.28
  6. Step 6: Final answer
    x = 473,258.83

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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.