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Finding the Fourth Proportional to 647,807.84, 893,972.34 and 357,437.50

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Solution

The fourth proportional to 647,807.84, 893,972.34 and 357,437.50 is: 493,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,807.84 : 893,972.34 = 357,437.50 : x
  2. Step 2: Convert to fraction form
    647,807.84/893,972.34 = 357,437.50/x
  3. Step 3: Cross multiply
    647,807.84x = 893,972.34 × 357,437.50
  4. Step 4: Simplify right side
    647,807.84x = 319,539,238,278.75
  5. Step 5: Solve for x
    x = 319,539,238,278.75/647,807.84
  6. Step 6: Final answer
    x = 493,262.38

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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.