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Finding the Fourth Proportional to 493,416.72, 680,931.56 and 302,393.20

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Solution

The fourth proportional to 493,416.72, 680,931.56 and 302,393.20 is: 417,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,416.72 : 680,931.56 = 302,393.20 : x
  2. Step 2: Convert to fraction form
    493,416.72/680,931.56 = 302,393.20/x
  3. Step 3: Cross multiply
    493,416.72x = 680,931.56 × 302,393.20
  4. Step 4: Simplify right side
    493,416.72x = 205,909,073,409.39
  5. Step 5: Solve for x
    x = 205,909,073,409.39/493,416.72
  6. Step 6: Final answer
    x = 417,312.72

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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.