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Finding the Fourth Proportional to 570,657.60, 857,829.60 and 405,588.80

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Solution

The fourth proportional to 570,657.60, 857,829.60 and 405,588.80 is: 609,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,657.60 : 857,829.60 = 405,588.80 : x
  2. Step 2: Convert to fraction form
    570,657.60/857,829.60 = 405,588.80/x
  3. Step 3: Cross multiply
    570,657.60x = 857,829.60 × 405,588.80
  4. Step 4: Simplify right side
    570,657.60x = 347,926,078,068.48
  5. Step 5: Solve for x
    x = 347,926,078,068.48/570,657.60
  6. Step 6: Final answer
    x = 609,693.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.