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Finding the Fourth Proportional to 502,415.60, 753,623.40 and 407,937.20

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Solution

The fourth proportional to 502,415.60, 753,623.40 and 407,937.20 is: 611,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,415.60 : 753,623.40 = 407,937.20 : x
  2. Step 2: Convert to fraction form
    502,415.60/753,623.40 = 407,937.20/x
  3. Step 3: Cross multiply
    502,415.60x = 753,623.40 × 407,937.20
  4. Step 4: Simplify right side
    502,415.60x = 307,431,019,650.48
  5. Step 5: Solve for x
    x = 307,431,019,650.48/502,415.60
  6. Step 6: Final answer
    x = 611,905.80

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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.