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Finding the Fourth Proportional to 470,108.61, 648,763.02 and 255,261.78

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Solution

The fourth proportional to 470,108.61, 648,763.02 and 255,261.78 is: 352,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,108.61 : 648,763.02 = 255,261.78 : x
  2. Step 2: Convert to fraction form
    470,108.61/648,763.02 = 255,261.78/x
  3. Step 3: Cross multiply
    470,108.61x = 648,763.02 × 255,261.78
  4. Step 4: Simplify right side
    470,108.61x = 165,604,403,283.38
  5. Step 5: Solve for x
    x = 165,604,403,283.38/470,108.61
  6. Step 6: Final answer
    x = 352,268.39

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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.