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Finding the Fourth Proportional to 315,269.63, 435,068.47 and 172,032.06

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Solution

The fourth proportional to 315,269.63, 435,068.47 and 172,032.06 is: 237,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,269.63 : 435,068.47 = 172,032.06 : x
  2. Step 2: Convert to fraction form
    315,269.63/435,068.47 = 172,032.06/x
  3. Step 3: Cross multiply
    315,269.63x = 435,068.47 × 172,032.06
  4. Step 4: Simplify right side
    315,269.63x = 74,845,725,135.15
  5. Step 5: Solve for x
    x = 74,845,725,135.15/315,269.63
  6. Step 6: Final answer
    x = 237,402.27

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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.