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Finding the Fourth Proportional to 470,186.86, 648,865.61 and 266,232.40

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Solution

The fourth proportional to 470,186.86, 648,865.61 and 266,232.40 is: 367,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,186.86 : 648,865.61 = 266,232.40 : x
  2. Step 2: Convert to fraction form
    470,186.86/648,865.61 = 266,232.40/x
  3. Step 3: Cross multiply
    470,186.86x = 648,865.61 × 266,232.40
  4. Step 4: Simplify right side
    470,186.86x = 172,749,048,627.76
  5. Step 5: Solve for x
    x = 172,749,048,627.76/470,186.86
  6. Step 6: Final answer
    x = 367,405.10

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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.