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Finding the Fourth Proportional to 546,938.40, 820,868.40 and 266,695.20

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Solution

The fourth proportional to 546,938.40, 820,868.40 and 266,695.20 is: 400,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,938.40 : 820,868.40 = 266,695.20 : x
  2. Step 2: Convert to fraction form
    546,938.40/820,868.40 = 266,695.20/x
  3. Step 3: Cross multiply
    546,938.40x = 820,868.40 × 266,695.20
  4. Step 4: Simplify right side
    546,938.40x = 218,921,662,111.68
  5. Step 5: Solve for x
    x = 218,921,662,111.68/546,938.40
  6. Step 6: Final answer
    x = 400,267.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.