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Finding the Fourth Proportional to 564,037.50, 778,371.75 and 309,389.28

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Solution

The fourth proportional to 564,037.50, 778,371.75 and 309,389.28 is: 426,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,037.50 : 778,371.75 = 309,389.28 : x
  2. Step 2: Convert to fraction form
    564,037.50/778,371.75 = 309,389.28/x
  3. Step 3: Cross multiply
    564,037.50x = 778,371.75 × 309,389.28
  4. Step 4: Simplify right side
    564,037.50x = 240,819,875,304.84
  5. Step 5: Solve for x
    x = 240,819,875,304.84/564,037.50
  6. Step 6: Final answer
    x = 426,957.21

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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.