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Finding the Fourth Proportional to 470,140.65, 648,808.88 and 266,188.05

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Solution

The fourth proportional to 470,140.65, 648,808.88 and 266,188.05 is: 367,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,140.65 : 648,808.88 = 266,188.05 : x
  2. Step 2: Convert to fraction form
    470,140.65/648,808.88 = 266,188.05/x
  3. Step 3: Cross multiply
    470,140.65x = 648,808.88 × 266,188.05
  4. Step 4: Simplify right side
    470,140.65x = 172,705,169,258.94
  5. Step 5: Solve for x
    x = 172,705,169,258.94/470,140.65
  6. Step 6: Final answer
    x = 367,347.88

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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.