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Finding the Fourth Proportional to 408,434.40, 612,651.60 and 390,063.60

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Solution

The fourth proportional to 408,434.40, 612,651.60 and 390,063.60 is: 585,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,434.40 : 612,651.60 = 390,063.60 : x
  2. Step 2: Convert to fraction form
    408,434.40/612,651.60 = 390,063.60/x
  3. Step 3: Cross multiply
    408,434.40x = 612,651.60 × 390,063.60
  4. Step 4: Simplify right side
    408,434.40x = 238,973,088,641.76
  5. Step 5: Solve for x
    x = 238,973,088,641.76/408,434.40
  6. Step 6: Final answer
    x = 585,095.40

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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.