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Finding the Fourth Proportional to 546,400.80, 754,013.28 and 316,962.64

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Solution

The fourth proportional to 546,400.80, 754,013.28 and 316,962.64 is: 437,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,400.80 : 754,013.28 = 316,962.64 : x
  2. Step 2: Convert to fraction form
    546,400.80/754,013.28 = 316,962.64/x
  3. Step 3: Cross multiply
    546,400.80x = 754,013.28 × 316,962.64
  4. Step 4: Simplify right side
    546,400.80x = 238,994,039,823.86
  5. Step 5: Solve for x
    x = 238,994,039,823.86/546,400.80
  6. Step 6: Final answer
    x = 437,396.94

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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.