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Finding the Fourth Proportional to 413,740, 570,985.50 and 311,585.14

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Solution

The fourth proportional to 413,740, 570,985.50 and 311,585.14 is: 430,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,740 : 570,985.50 = 311,585.14 : x
  2. Step 2: Convert to fraction form
    413,740/570,985.50 = 311,585.14/x
  3. Step 3: Cross multiply
    413,740x = 570,985.50 × 311,585.14
  4. Step 4: Simplify right side
    413,740x = 177,910,596,955.47
  5. Step 5: Solve for x
    x = 177,910,596,955.47/413,740
  6. Step 6: Final answer
    x = 430,005.79

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1.5x scale

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.