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Finding the Fourth Proportional to 314,383.45, 433,908.95 and 178,430.12

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Solution

The fourth proportional to 314,383.45, 433,908.95 and 178,430.12 is: 246,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,383.45 : 433,908.95 = 178,430.12 : x
  2. Step 2: Convert to fraction form
    314,383.45/433,908.95 = 178,430.12/x
  3. Step 3: Cross multiply
    314,383.45x = 433,908.95 × 178,430.12
  4. Step 4: Simplify right side
    314,383.45x = 77,422,426,017.57
  5. Step 5: Solve for x
    x = 77,422,426,017.57/314,383.45
  6. Step 6: Final answer
    x = 246,267.50

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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.