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Finding the Fourth Proportional to 313,830.90, 470,055.15 and 272,358.90

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Solution

The fourth proportional to 313,830.90, 470,055.15 and 272,358.90 is: 407,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,830.90 : 470,055.15 = 272,358.90 : x
  2. Step 2: Convert to fraction form
    313,830.90/470,055.15 = 272,358.90/x
  3. Step 3: Cross multiply
    313,830.90x = 470,055.15 × 272,358.90
  4. Step 4: Simplify right side
    313,830.90x = 128,023,703,593.34
  5. Step 5: Solve for x
    x = 128,023,703,593.34/313,830.90
  6. Step 6: Final answer
    x = 407,938.49

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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.