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Finding the Fourth Proportional to 415,829.40, 623,744.10 and 389,585.40

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Solution

The fourth proportional to 415,829.40, 623,744.10 and 389,585.40 is: 584,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,829.40 : 623,744.10 = 389,585.40 : x
  2. Step 2: Convert to fraction form
    415,829.40/623,744.10 = 389,585.40/x
  3. Step 3: Cross multiply
    415,829.40x = 623,744.10 × 389,585.40
  4. Step 4: Simplify right side
    415,829.40x = 243,001,594,696.14
  5. Step 5: Solve for x
    x = 243,001,594,696.14/415,829.40
  6. Step 6: Final answer
    x = 584,378.10

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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.