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Finding the Fourth Proportional to 406,128, 560,378.88 and 262,868.16

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Solution

The fourth proportional to 406,128, 560,378.88 and 262,868.16 is: 362,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,128 : 560,378.88 = 262,868.16 : x
  2. Step 2: Convert to fraction form
    406,128/560,378.88 = 262,868.16/x
  3. Step 3: Cross multiply
    406,128x = 560,378.88 × 262,868.16
  4. Step 4: Simplify right side
    406,128x = 147,305,765,088.46
  5. Step 5: Solve for x
    x = 147,305,765,088.46/406,128
  6. Step 6: Final answer
    x = 362,707.73

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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.