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Finding the Fourth Proportional to 314,384.64, 470,945.28 and 156,134.40

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Solution

The fourth proportional to 314,384.64, 470,945.28 and 156,134.40 is: 233,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,384.64 : 470,945.28 = 156,134.40 : x
  2. Step 2: Convert to fraction form
    314,384.64/470,945.28 = 156,134.40/x
  3. Step 3: Cross multiply
    314,384.64x = 470,945.28 × 156,134.40
  4. Step 4: Simplify right side
    314,384.64x = 73,530,758,725.63
  5. Step 5: Solve for x
    x = 73,530,758,725.63/314,384.64
  6. Step 6: Final answer
    x = 233,887.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.