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Finding the Fourth Proportional to 493,389.80, 740,430.30 and 316,327.40

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Solution

The fourth proportional to 493,389.80, 740,430.30 and 316,327.40 is: 474,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,389.80 : 740,430.30 = 316,327.40 : x
  2. Step 2: Convert to fraction form
    493,389.80/740,430.30 = 316,327.40/x
  3. Step 3: Cross multiply
    493,389.80x = 740,430.30 × 316,327.40
  4. Step 4: Simplify right side
    493,389.80x = 234,218,391,680.22
  5. Step 5: Solve for x
    x = 234,218,391,680.22/493,389.80
  6. Step 6: Final answer
    x = 474,712.67

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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.