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Finding the Fourth Proportional to 575,095.40, 862,815.90 and 409,207.40

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Solution

The fourth proportional to 575,095.40, 862,815.90 and 409,207.40 is: 613,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,095.40 : 862,815.90 = 409,207.40 : x
  2. Step 2: Convert to fraction form
    575,095.40/862,815.90 = 409,207.40/x
  3. Step 3: Cross multiply
    575,095.40x = 862,815.90 × 409,207.40
  4. Step 4: Simplify right side
    575,095.40x = 353,070,651,117.66
  5. Step 5: Solve for x
    x = 353,070,651,117.66/575,095.40
  6. Step 6: Final answer
    x = 613,934.06

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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.