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Finding the Fourth Proportional to 470,492, 649,279.80 and 255,632.32

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Solution

The fourth proportional to 470,492, 649,279.80 and 255,632.32 is: 352,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,492 : 649,279.80 = 255,632.32 : x
  2. Step 2: Convert to fraction form
    470,492/649,279.80 = 255,632.32/x
  3. Step 3: Cross multiply
    470,492x = 649,279.80 × 255,632.32
  4. Step 4: Simplify right side
    470,492x = 165,976,901,603.14
  5. Step 5: Solve for x
    x = 165,976,901,603.14/470,492
  6. Step 6: Final answer
    x = 352,773.06

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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.