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Finding the Fourth Proportional to 585,740.90, 877,608.36 and 319,688.10

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Solution

The fourth proportional to 585,740.90, 877,608.36 and 319,688.10 is: 478,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,740.90 : 877,608.36 = 319,688.10 : x
  2. Step 2: Convert to fraction form
    585,740.90/877,608.36 = 319,688.10/x
  3. Step 3: Cross multiply
    585,740.90x = 877,608.36 × 319,688.10
  4. Step 4: Simplify right side
    585,740.90x = 280,560,949,152.52
  5. Step 5: Solve for x
    x = 280,560,949,152.52/585,740.90
  6. Step 6: Final answer
    x = 478,984.73

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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.