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Finding the Fourth Proportional to 315,783.62, 435,784.46 and 172,543.66

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Solution

The fourth proportional to 315,783.62, 435,784.46 and 172,543.66 is: 238,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,783.62 : 435,784.46 = 172,543.66 : x
  2. Step 2: Convert to fraction form
    315,783.62/435,784.46 = 172,543.66/x
  3. Step 3: Cross multiply
    315,783.62x = 435,784.46 × 172,543.66
  4. Step 4: Simplify right side
    315,783.62x = 75,191,845,699.52
  5. Step 5: Solve for x
    x = 75,191,845,699.52/315,783.62
  6. Step 6: Final answer
    x = 238,111.93

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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.