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Finding the Fourth Proportional to 390,915.46, 586,497.78 and 174,740.86

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Solution

The fourth proportional to 390,915.46, 586,497.78 and 174,740.86 is: 262,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,915.46 : 586,497.78 = 174,740.86 : x
  2. Step 2: Convert to fraction form
    390,915.46/586,497.78 = 174,740.86/x
  3. Step 3: Cross multiply
    390,915.46x = 586,497.78 × 174,740.86
  4. Step 4: Simplify right side
    390,915.46x = 102,485,126,465.29
  5. Step 5: Solve for x
    x = 102,485,126,465.29/390,915.46
  6. Step 6: Final answer
    x = 262,166.98

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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.