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Finding the Fourth Proportional to 564,377.16, 778,849.98 and 309,752.04

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Solution

The fourth proportional to 564,377.16, 778,849.98 and 309,752.04 is: 427,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,377.16 : 778,849.98 = 309,752.04 : x
  2. Step 2: Convert to fraction form
    564,377.16/778,849.98 = 309,752.04/x
  3. Step 3: Cross multiply
    564,377.16x = 778,849.98 × 309,752.04
  4. Step 4: Simplify right side
    564,377.16x = 241,250,370,158.96
  5. Step 5: Solve for x
    x = 241,250,370,158.96/564,377.16
  6. Step 6: Final answer
    x = 427,463.03

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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.