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Finding the Fourth Proportional to 560,828.16, 773,910 and 306,128.16

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Solution

The fourth proportional to 560,828.16, 773,910 and 306,128.16 is: 422,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,828.16 : 773,910 = 306,128.16 : x
  2. Step 2: Convert to fraction form
    560,828.16/773,910 = 306,128.16/x
  3. Step 3: Cross multiply
    560,828.16x = 773,910 × 306,128.16
  4. Step 4: Simplify right side
    560,828.16x = 236,915,644,305.60
  5. Step 5: Solve for x
    x = 236,915,644,305.60/560,828.16
  6. Step 6: Final answer
    x = 422,438.92

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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.