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Finding the Fourth Proportional to 315,784.83, 435,783.17 and 170,590.66

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Solution

The fourth proportional to 315,784.83, 435,783.17 and 170,590.66 is: 235,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,784.83 : 435,783.17 = 170,590.66 : x
  2. Step 2: Convert to fraction form
    315,784.83/435,783.17 = 170,590.66/x
  3. Step 3: Cross multiply
    315,784.83x = 435,783.17 × 170,590.66
  4. Step 4: Simplify right side
    315,784.83x = 74,340,538,587.19
  5. Step 5: Solve for x
    x = 74,340,538,587.19/315,784.83
  6. Step 6: Final answer
    x = 235,415.17

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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.