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Finding the Fourth Proportional to 315,783.12, 435,783.77 and 172,543.16

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Solution

The fourth proportional to 315,783.12, 435,783.77 and 172,543.16 is: 238,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,783.12 : 435,783.77 = 172,543.16 : x
  2. Step 2: Convert to fraction form
    315,783.12/435,783.77 = 172,543.16/x
  3. Step 3: Cross multiply
    315,783.12x = 435,783.77 × 172,543.16
  4. Step 4: Simplify right side
    315,783.12x = 75,191,508,752.51
  5. Step 5: Solve for x
    x = 75,191,508,752.51/315,783.12
  6. Step 6: Final answer
    x = 238,111.24

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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.