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Finding the Fourth Proportional to 564,384.88, 778,833.52 and 309,729.52

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Solution

The fourth proportional to 564,384.88, 778,833.52 and 309,729.52 is: 427,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,384.88 : 778,833.52 = 309,729.52 : x
  2. Step 2: Convert to fraction form
    564,384.88/778,833.52 = 309,729.52/x
  3. Step 3: Cross multiply
    564,384.88x = 778,833.52 × 309,729.52
  4. Step 4: Simplify right side
    564,384.88x = 241,227,732,309.51
  5. Step 5: Solve for x
    x = 241,227,732,309.51/564,384.88
  6. Step 6: Final answer
    x = 427,417.07

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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.