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Finding the Fourth Proportional to 517,740.86, 714,582.21 and 313,903.42

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Solution

The fourth proportional to 517,740.86, 714,582.21 and 313,903.42 is: 433,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,740.86 : 714,582.21 = 313,903.42 : x
  2. Step 2: Convert to fraction form
    517,740.86/714,582.21 = 313,903.42/x
  3. Step 3: Cross multiply
    517,740.86x = 714,582.21 × 313,903.42
  4. Step 4: Simplify right side
    517,740.86x = 224,309,799,590.16
  5. Step 5: Solve for x
    x = 224,309,799,590.16/517,740.86
  6. Step 6: Final answer
    x = 433,247.24

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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.