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Finding the Fourth Proportional to 390,852.40, 586,278.60 and 334,865.20

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Solution

The fourth proportional to 390,852.40, 586,278.60 and 334,865.20 is: 502,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,852.40 : 586,278.60 = 334,865.20 : x
  2. Step 2: Convert to fraction form
    390,852.40/586,278.60 = 334,865.20/x
  3. Step 3: Cross multiply
    390,852.40x = 586,278.60 × 334,865.20
  4. Step 4: Simplify right side
    390,852.40x = 196,324,300,644.72
  5. Step 5: Solve for x
    x = 196,324,300,644.72/390,852.40
  6. Step 6: Final answer
    x = 502,297.80

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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.