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Finding the Fourth Proportional to 470,276, 648,985.64 and 255,420.28

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Solution

The fourth proportional to 470,276, 648,985.64 and 255,420.28 is: 352,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,276 : 648,985.64 = 255,420.28 : x
  2. Step 2: Convert to fraction form
    470,276/648,985.64 = 255,420.28/x
  3. Step 3: Cross multiply
    470,276x = 648,985.64 × 255,420.28
  4. Step 4: Simplify right side
    470,276x = 165,764,093,884.78
  5. Step 5: Solve for x
    x = 165,764,093,884.78/470,276
  6. Step 6: Final answer
    x = 352,482.57

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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.