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Finding the Fourth Proportional to 315,172, 434,973.80 and 175,484.64

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Solution

The fourth proportional to 315,172, 434,973.80 and 175,484.64 is: 242,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,172 : 434,973.80 = 175,484.64 : x
  2. Step 2: Convert to fraction form
    315,172/434,973.80 = 175,484.64/x
  3. Step 3: Cross multiply
    315,172x = 434,973.80 × 175,484.64
  4. Step 4: Simplify right side
    315,172x = 76,331,220,702.43
  5. Step 5: Solve for x
    x = 76,331,220,702.43/315,172
  6. Step 6: Final answer
    x = 242,189.09

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1.5x scale

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.