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Finding the Fourth Proportional to 570,286.86, 786,869.91 and 340,809.72

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Solution

The fourth proportional to 570,286.86, 786,869.91 and 340,809.72 is: 470,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,286.86 : 786,869.91 = 340,809.72 : x
  2. Step 2: Convert to fraction form
    570,286.86/786,869.91 = 340,809.72/x
  3. Step 3: Cross multiply
    570,286.86x = 786,869.91 × 340,809.72
  4. Step 4: Simplify right side
    570,286.86x = 268,172,913,703.53
  5. Step 5: Solve for x
    x = 268,172,913,703.53/570,286.86
  6. Step 6: Final answer
    x = 470,242.14

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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.