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Finding the Fourth Proportional to 413,487.36, 570,886.40 and 317,817.60

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Solution

The fourth proportional to 413,487.36, 570,886.40 and 317,817.60 is: 438,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,487.36 : 570,886.40 = 317,817.60 : x
  2. Step 2: Convert to fraction form
    413,487.36/570,886.40 = 317,817.60/x
  3. Step 3: Cross multiply
    413,487.36x = 570,886.40 × 317,817.60
  4. Step 4: Simplify right side
    413,487.36x = 181,437,745,520.64
  5. Step 5: Solve for x
    x = 181,437,745,520.64/413,487.36
  6. Step 6: Final answer
    x = 438,798.77

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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.