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Finding the Fourth Proportional to 429,614.80, 643,807.80 and 316,411.60

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Solution

The fourth proportional to 429,614.80, 643,807.80 and 316,411.60 is: 474,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,614.80 : 643,807.80 = 316,411.60 : x
  2. Step 2: Convert to fraction form
    429,614.80/643,807.80 = 316,411.60/x
  3. Step 3: Cross multiply
    429,614.80x = 643,807.80 × 316,411.60
  4. Step 4: Simplify right side
    429,614.80x = 203,708,256,090.48
  5. Step 5: Solve for x
    x = 203,708,256,090.48/429,614.80
  6. Step 6: Final answer
    x = 474,164.89

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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.