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Finding the Fourth Proportional to 461,358.23, 636,673.47 and 257,397.01

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Solution

The fourth proportional to 461,358.23, 636,673.47 and 257,397.01 is: 355,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,358.23 : 636,673.47 = 257,397.01 : x
  2. Step 2: Convert to fraction form
    461,358.23/636,673.47 = 257,397.01/x
  3. Step 3: Cross multiply
    461,358.23x = 636,673.47 × 257,397.01
  4. Step 4: Simplify right side
    461,358.23x = 163,877,846,237.34
  5. Step 5: Solve for x
    x = 163,877,846,237.34/461,358.23
  6. Step 6: Final answer
    x = 355,207.38

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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.