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Finding the Fourth Proportional to 546,921.60, 820,382.40 and 406,953.60

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Solution

The fourth proportional to 546,921.60, 820,382.40 and 406,953.60 is: 610,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,921.60 : 820,382.40 = 406,953.60 : x
  2. Step 2: Convert to fraction form
    546,921.60/820,382.40 = 406,953.60/x
  3. Step 3: Cross multiply
    546,921.60x = 820,382.40 × 406,953.60
  4. Step 4: Simplify right side
    546,921.60x = 333,857,571,056.64
  5. Step 5: Solve for x
    x = 333,857,571,056.64/546,921.60
  6. Step 6: Final answer
    x = 610,430.40

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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.