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Finding the Fourth Proportional to 564,329.61, 778,797.32 and 309,689.91

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Solution

The fourth proportional to 564,329.61, 778,797.32 and 309,689.91 is: 427,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,329.61 : 778,797.32 = 309,689.91 : x
  2. Step 2: Convert to fraction form
    564,329.61/778,797.32 = 309,689.91/x
  3. Step 3: Cross multiply
    564,329.61x = 778,797.32 × 309,689.91
  4. Step 4: Simplify right side
    564,329.61x = 241,185,670,390.59
  5. Step 5: Solve for x
    x = 241,185,670,390.59/564,329.61
  6. Step 6: Final answer
    x = 427,384.40

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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.