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Finding the Fourth Proportional to 470,515.70, 649,315.62 and 255,655.76

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Solution

The fourth proportional to 470,515.70, 649,315.62 and 255,655.76 is: 352,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,515.70 : 649,315.62 = 255,655.76 : x
  2. Step 2: Convert to fraction form
    470,515.70/649,315.62 = 255,655.76/x
  3. Step 3: Cross multiply
    470,515.70x = 649,315.62 × 255,655.76
  4. Step 4: Simplify right side
    470,515.70x = 166,001,279,934.26
  5. Step 5: Solve for x
    x = 166,001,279,934.26/470,515.70
  6. Step 6: Final answer
    x = 352,807.10

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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.