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Finding the Fourth Proportional to 491,459.84, 678,242.40 and 300,442.40

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Solution

The fourth proportional to 491,459.84, 678,242.40 and 300,442.40 is: 414,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,459.84 : 678,242.40 = 300,442.40 : x
  2. Step 2: Convert to fraction form
    491,459.84/678,242.40 = 300,442.40/x
  3. Step 3: Cross multiply
    491,459.84x = 678,242.40 × 300,442.40
  4. Step 4: Simplify right side
    491,459.84x = 203,772,774,437.76
  5. Step 5: Solve for x
    x = 203,772,774,437.76/491,459.84
  6. Step 6: Final answer
    x = 414,627.52

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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.