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Finding the Fourth Proportional to 570,460.68, 787,204.50 and 312,287.70

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Solution

The fourth proportional to 570,460.68, 787,204.50 and 312,287.70 is: 430,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,460.68 : 787,204.50 = 312,287.70 : x
  2. Step 2: Convert to fraction form
    570,460.68/787,204.50 = 312,287.70/x
  3. Step 3: Cross multiply
    570,460.68x = 787,204.50 × 312,287.70
  4. Step 4: Simplify right side
    570,460.68x = 245,834,282,734.65
  5. Step 5: Solve for x
    x = 245,834,282,734.65/570,460.68
  6. Step 6: Final answer
    x = 430,939.93

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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.