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Finding the Fourth Proportional to 315,105.57, 470,649.14 and 285,073.50

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Solution

The fourth proportional to 315,105.57, 470,649.14 and 285,073.50 is: 425,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,105.57 : 470,649.14 = 285,073.50 : x
  2. Step 2: Convert to fraction form
    315,105.57/470,649.14 = 285,073.50/x
  3. Step 3: Cross multiply
    315,105.57x = 470,649.14 × 285,073.50
  4. Step 4: Simplify right side
    315,105.57x = 134,169,596,186.42
  5. Step 5: Solve for x
    x = 134,169,596,186.42/315,105.57
  6. Step 6: Final answer
    x = 425,792.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.