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Finding the Fourth Proportional to 585,741.90, 877,609.86 and 319,689.10

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Solution

The fourth proportional to 585,741.90, 877,609.86 and 319,689.10 is: 478,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,741.90 : 877,609.86 = 319,689.10 : x
  2. Step 2: Convert to fraction form
    585,741.90/877,609.86 = 319,689.10/x
  3. Step 3: Cross multiply
    585,741.90x = 877,609.86 × 319,689.10
  4. Step 4: Simplify right side
    585,741.90x = 280,562,306,294.53
  5. Step 5: Solve for x
    x = 280,562,306,294.53/585,741.90
  6. Step 6: Final answer
    x = 478,986.23

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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.