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Finding the Fourth Proportional to 385,368.60, 578,052.90 and 207,784.20

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Solution

The fourth proportional to 385,368.60, 578,052.90 and 207,784.20 is: 311,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,368.60 : 578,052.90 = 207,784.20 : x
  2. Step 2: Convert to fraction form
    385,368.60/578,052.90 = 207,784.20/x
  3. Step 3: Cross multiply
    385,368.60x = 578,052.90 × 207,784.20
  4. Step 4: Simplify right side
    385,368.60x = 120,110,259,384.18
  5. Step 5: Solve for x
    x = 120,110,259,384.18/385,368.60
  6. Step 6: Final answer
    x = 311,676.30

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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.