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Finding the Fourth Proportional to 412,298.40, 578,047.20 and 412,298.40

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Solution

The fourth proportional to 412,298.40, 578,047.20 and 412,298.40 is: 578,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,298.40 : 578,047.20 = 412,298.40 : x
  2. Step 2: Convert to fraction form
    412,298.40/578,047.20 = 412,298.40/x
  3. Step 3: Cross multiply
    412,298.40x = 578,047.20 × 412,298.40
  4. Step 4: Simplify right side
    412,298.40x = 238,327,935,684.48
  5. Step 5: Solve for x
    x = 238,327,935,684.48/412,298.40
  6. Step 6: Final answer
    x = 578,047.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.