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Finding the Fourth Proportional to 566,864.84, 782,237.54 and 312,216

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Solution

The fourth proportional to 566,864.84, 782,237.54 and 312,216 is: 430,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,864.84 : 782,237.54 = 312,216 : x
  2. Step 2: Convert to fraction form
    566,864.84/782,237.54 = 312,216/x
  3. Step 3: Cross multiply
    566,864.84x = 782,237.54 × 312,216
  4. Step 4: Simplify right side
    566,864.84x = 244,227,075,788.64
  5. Step 5: Solve for x
    x = 244,227,075,788.64/566,864.84
  6. Step 6: Final answer
    x = 430,838.29

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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.