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Finding the Fourth Proportional to 684,972.32, 944,681.44 and 412,980.48

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Solution

The fourth proportional to 684,972.32, 944,681.44 and 412,980.48 is: 569,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,972.32 : 944,681.44 = 412,980.48 : x
  2. Step 2: Convert to fraction form
    684,972.32/944,681.44 = 412,980.48/x
  3. Step 3: Cross multiply
    684,972.32x = 944,681.44 × 412,980.48
  4. Step 4: Simplify right side
    684,972.32x = 390,134,994,538.29
  5. Step 5: Solve for x
    x = 390,134,994,538.29/684,972.32
  6. Step 6: Final answer
    x = 569,563.15

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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.