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Finding the Fourth Proportional to 470,272, 648,980.12 and 255,416.26

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Solution

The fourth proportional to 470,272, 648,980.12 and 255,416.26 is: 352,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,272 : 648,980.12 = 255,416.26 : x
  2. Step 2: Convert to fraction form
    470,272/648,980.12 = 255,416.26/x
  3. Step 3: Cross multiply
    470,272x = 648,980.12 × 255,416.26
  4. Step 4: Simplify right side
    470,272x = 165,760,075,064.75
  5. Step 5: Solve for x
    x = 165,760,075,064.75/470,272
  6. Step 6: Final answer
    x = 352,477.02

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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.