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Finding the Fourth Proportional to 679,740.09, 937,658.75 and 407,735.61

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Solution

The fourth proportional to 679,740.09, 937,658.75 and 407,735.61 is: 562,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,740.09 : 937,658.75 = 407,735.61 : x
  2. Step 2: Convert to fraction form
    679,740.09/937,658.75 = 407,735.61/x
  3. Step 3: Cross multiply
    679,740.09x = 937,658.75 × 407,735.61
  4. Step 4: Simplify right side
    679,740.09x = 382,316,860,364.41
  5. Step 5: Solve for x
    x = 382,316,860,364.41/679,740.09
  6. Step 6: Final answer
    x = 562,445.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.