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Finding the Fourth Proportional to 564,480.90, 778,983.34 and 319,461.21

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Solution

The fourth proportional to 564,480.90, 778,983.34 and 319,461.21 is: 440,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,480.90 : 778,983.34 = 319,461.21 : x
  2. Step 2: Convert to fraction form
    564,480.90/778,983.34 = 319,461.21/x
  3. Step 3: Cross multiply
    564,480.90x = 778,983.34 × 319,461.21
  4. Step 4: Simplify right side
    564,480.90x = 248,854,960,366.24
  5. Step 5: Solve for x
    x = 248,854,960,366.24/564,480.90
  6. Step 6: Final answer
    x = 440,856.30

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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.