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Finding the Fourth Proportional to 564,303.66, 778,737.94 and 306,180.52

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Solution

The fourth proportional to 564,303.66, 778,737.94 and 306,180.52 is: 422,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,303.66 : 778,737.94 = 306,180.52 : x
  2. Step 2: Convert to fraction form
    564,303.66/778,737.94 = 306,180.52/x
  3. Step 3: Cross multiply
    564,303.66x = 778,737.94 × 306,180.52
  4. Step 4: Simplify right side
    564,303.66x = 238,434,387,412.93
  5. Step 5: Solve for x
    x = 238,434,387,412.93/564,303.66
  6. Step 6: Final answer
    x = 422,528.51

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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.