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Finding the Fourth Proportional to 570,102.32, 786,687.62 and 385,966.31

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Solution

The fourth proportional to 570,102.32, 786,687.62 and 385,966.31 is: 532,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,102.32 : 786,687.62 = 385,966.31 : x
  2. Step 2: Convert to fraction form
    570,102.32/786,687.62 = 385,966.31/x
  3. Step 3: Cross multiply
    570,102.32x = 786,687.62 × 385,966.31
  4. Step 4: Simplify right side
    570,102.32x = 303,634,911,950.81
  5. Step 5: Solve for x
    x = 303,634,911,950.81/570,102.32
  6. Step 6: Final answer
    x = 532,597.22

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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.