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Finding the Fourth Proportional to 315,810.60, 435,819.72 and 172,570.64

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Solution

The fourth proportional to 315,810.60, 435,819.72 and 172,570.64 is: 238,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,810.60 : 435,819.72 = 172,570.64 : x
  2. Step 2: Convert to fraction form
    315,810.60/435,819.72 = 172,570.64/x
  3. Step 3: Cross multiply
    315,810.60x = 435,819.72 × 172,570.64
  4. Step 4: Simplify right side
    315,810.60x = 75,209,686,473.06
  5. Step 5: Solve for x
    x = 75,209,686,473.06/315,810.60
  6. Step 6: Final answer
    x = 238,148.08

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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.