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Finding the Fourth Proportional to 566,398.40, 781,623.78 and 311,744.12

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Solution

The fourth proportional to 566,398.40, 781,623.78 and 311,744.12 is: 430,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,398.40 : 781,623.78 = 311,744.12 : x
  2. Step 2: Convert to fraction form
    566,398.40/781,623.78 = 311,744.12/x
  3. Step 3: Cross multiply
    566,398.40x = 781,623.78 × 311,744.12
  4. Step 4: Simplify right side
    566,398.40x = 243,666,617,467.17
  5. Step 5: Solve for x
    x = 243,666,617,467.17/566,398.40
  6. Step 6: Final answer
    x = 430,203.58

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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.