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Finding the Fourth Proportional to 315,684.83, 435,637.90 and 172,445.51

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Solution

The fourth proportional to 315,684.83, 435,637.90 and 172,445.51 is: 237,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,684.83 : 435,637.90 = 172,445.51 : x
  2. Step 2: Convert to fraction form
    315,684.83/435,637.90 = 172,445.51/x
  3. Step 3: Cross multiply
    315,684.83x = 435,637.90 × 172,445.51
  4. Step 4: Simplify right side
    315,684.83x = 75,123,799,840.83
  5. Step 5: Solve for x
    x = 75,123,799,840.83/315,684.83
  6. Step 6: Final answer
    x = 237,970.89

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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.