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Finding the Fourth Proportional to 431,497.60, 647,246.40 and 385,878.40

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Solution

The fourth proportional to 431,497.60, 647,246.40 and 385,878.40 is: 578,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,497.60 : 647,246.40 = 385,878.40 : x
  2. Step 2: Convert to fraction form
    431,497.60/647,246.40 = 385,878.40/x
  3. Step 3: Cross multiply
    431,497.60x = 647,246.40 × 385,878.40
  4. Step 4: Simplify right side
    431,497.60x = 249,758,405,237.76
  5. Step 5: Solve for x
    x = 249,758,405,237.76/431,497.60
  6. Step 6: Final answer
    x = 578,817.60

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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.