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Finding the Fourth Proportional to 515,423.60, 711,323.52 and 286,024.31

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Solution

The fourth proportional to 515,423.60, 711,323.52 and 286,024.31 is: 394,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,423.60 : 711,323.52 = 286,024.31 : x
  2. Step 2: Convert to fraction form
    515,423.60/711,323.52 = 286,024.31/x
  3. Step 3: Cross multiply
    515,423.60x = 711,323.52 × 286,024.31
  4. Step 4: Simplify right side
    515,423.60x = 203,455,815,438.15
  5. Step 5: Solve for x
    x = 203,455,815,438.15/515,423.60
  6. Step 6: Final answer
    x = 394,735.16

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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.