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Finding the Fourth Proportional to 493,954.32, 740,144.16 and 316,315.20

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Solution

The fourth proportional to 493,954.32, 740,144.16 and 316,315.20 is: 473,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,954.32 : 740,144.16 = 316,315.20 : x
  2. Step 2: Convert to fraction form
    493,954.32/740,144.16 = 316,315.20/x
  3. Step 3: Cross multiply
    493,954.32x = 740,144.16 × 316,315.20
  4. Step 4: Simplify right side
    493,954.32x = 234,118,847,999.23
  5. Step 5: Solve for x
    x = 234,118,847,999.23/493,954.32
  6. Step 6: Final answer
    x = 473,968.62

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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.