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Finding the Fourth Proportional to 564,835.86, 779,445.18 and 319,782.48

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Solution

The fourth proportional to 564,835.86, 779,445.18 and 319,782.48 is: 441,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,835.86 : 779,445.18 = 319,782.48 : x
  2. Step 2: Convert to fraction form
    564,835.86/779,445.18 = 319,782.48/x
  3. Step 3: Cross multiply
    564,835.86x = 779,445.18 × 319,782.48
  4. Step 4: Simplify right side
    564,835.86x = 249,252,912,684.45
  5. Step 5: Solve for x
    x = 249,252,912,684.45/564,835.86
  6. Step 6: Final answer
    x = 441,283.80

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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.