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Finding the Fourth Proportional to 585,728.99, 877,590.50 and 319,676.18

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Solution

The fourth proportional to 585,728.99, 877,590.50 and 319,676.18 is: 478,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,728.99 : 877,590.50 = 319,676.18 : x
  2. Step 2: Convert to fraction form
    585,728.99/877,590.50 = 319,676.18/x
  3. Step 3: Cross multiply
    585,728.99x = 877,590.50 × 319,676.18
  4. Step 4: Simplify right side
    585,728.99x = 280,544,779,239.89
  5. Step 5: Solve for x
    x = 280,544,779,239.89/585,728.99
  6. Step 6: Final answer
    x = 478,966.87

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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.