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Finding the Fourth Proportional to 706,596.02, 975,356.14 and 420,115.42

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Solution

The fourth proportional to 706,596.02, 975,356.14 and 420,115.42 is: 579,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,596.02 : 975,356.14 = 420,115.42 : x
  2. Step 2: Convert to fraction form
    706,596.02/975,356.14 = 420,115.42/x
  3. Step 3: Cross multiply
    706,596.02x = 975,356.14 × 420,115.42
  4. Step 4: Simplify right side
    706,596.02x = 409,762,147,428.32
  5. Step 5: Solve for x
    x = 409,762,147,428.32/706,596.02
  6. Step 6: Final answer
    x = 579,910.07

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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.