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Finding the Fourth Proportional to 585,021.40, 877,532.10 and 478,733.20

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Solution

The fourth proportional to 585,021.40, 877,532.10 and 478,733.20 is: 718,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,021.40 : 877,532.10 = 478,733.20 : x
  2. Step 2: Convert to fraction form
    585,021.40/877,532.10 = 478,733.20/x
  3. Step 3: Cross multiply
    585,021.40x = 877,532.10 × 478,733.20
  4. Step 4: Simplify right side
    585,021.40x = 420,103,750,335.72
  5. Step 5: Solve for x
    x = 420,103,750,335.72/585,021.40
  6. Step 6: Final answer
    x = 718,099.80

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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.