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Finding the Fourth Proportional to 564,113.39, 778,463.12 and 309,462.35

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Solution

The fourth proportional to 564,113.39, 778,463.12 and 309,462.35 is: 427,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,113.39 : 778,463.12 = 309,462.35 : x
  2. Step 2: Convert to fraction form
    564,113.39/778,463.12 = 309,462.35/x
  3. Step 3: Cross multiply
    564,113.39x = 778,463.12 × 309,462.35
  4. Step 4: Simplify right side
    564,113.39x = 240,905,023,384.87
  5. Step 5: Solve for x
    x = 240,905,023,384.87/564,113.39
  6. Step 6: Final answer
    x = 427,050.71

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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.