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Finding the Fourth Proportional to 402,895.76, 556,023.48 and 266,695.16

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Solution

The fourth proportional to 402,895.76, 556,023.48 and 266,695.16 is: 368,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,895.76 : 556,023.48 = 266,695.16 : x
  2. Step 2: Convert to fraction form
    402,895.76/556,023.48 = 266,695.16/x
  3. Step 3: Cross multiply
    402,895.76x = 556,023.48 × 266,695.16
  4. Step 4: Simplify right side
    402,895.76x = 148,288,770,962.36
  5. Step 5: Solve for x
    x = 148,288,770,962.36/402,895.76
  6. Step 6: Final answer
    x = 368,057.41

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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.