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Finding the Fourth Proportional to 470,871.40, 649,829.10 and 256,006.86

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Solution

The fourth proportional to 470,871.40, 649,829.10 and 256,006.86 is: 353,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,871.40 : 649,829.10 = 256,006.86 : x
  2. Step 2: Convert to fraction form
    470,871.40/649,829.10 = 256,006.86/x
  3. Step 3: Cross multiply
    470,871.40x = 649,829.10 × 256,006.86
  4. Step 4: Simplify right side
    470,871.40x = 166,360,707,427.63
  5. Step 5: Solve for x
    x = 166,360,707,427.63/470,871.40
  6. Step 6: Final answer
    x = 353,303.91

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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.