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Finding the Fourth Proportional to 509,921.12, 703,931.78 and 323,746.08

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Solution

The fourth proportional to 509,921.12, 703,931.78 and 323,746.08 is: 446,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,921.12 : 703,931.78 = 323,746.08 : x
  2. Step 2: Convert to fraction form
    509,921.12/703,931.78 = 323,746.08/x
  3. Step 3: Cross multiply
    509,921.12x = 703,931.78 × 323,746.08
  4. Step 4: Simplify right side
    509,921.12x = 227,895,152,743.69
  5. Step 5: Solve for x
    x = 227,895,152,743.69/509,921.12
  6. Step 6: Final answer
    x = 446,922.37

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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.