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Finding the Fourth Proportional to 542,451.84, 748,317.60 and 470,731.20

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Solution

The fourth proportional to 542,451.84, 748,317.60 and 470,731.20 is: 649,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,451.84 : 748,317.60 = 470,731.20 : x
  2. Step 2: Convert to fraction form
    542,451.84/748,317.60 = 470,731.20/x
  3. Step 3: Cross multiply
    542,451.84x = 748,317.60 × 470,731.20
  4. Step 4: Simplify right side
    542,451.84x = 352,256,441,829.12
  5. Step 5: Solve for x
    x = 352,256,441,829.12/542,451.84
  6. Step 6: Final answer
    x = 649,378.28

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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.