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Finding the Fourth Proportional to 314,703.51, 434,285.35 and 171,464.59

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Solution

The fourth proportional to 314,703.51, 434,285.35 and 171,464.59 is: 236,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,703.51 : 434,285.35 = 171,464.59 : x
  2. Step 2: Convert to fraction form
    314,703.51/434,285.35 = 171,464.59/x
  3. Step 3: Cross multiply
    314,703.51x = 434,285.35 × 171,464.59
  4. Step 4: Simplify right side
    314,703.51x = 74,464,559,480.76
  5. Step 5: Solve for x
    x = 74,464,559,480.76/314,703.51
  6. Step 6: Final answer
    x = 236,618.14

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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.