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Finding the Fourth Proportional to 472,886.68, 651,821.10 and 319,868.98

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Solution

The fourth proportional to 472,886.68, 651,821.10 and 319,868.98 is: 440,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,886.68 : 651,821.10 = 319,868.98 : x
  2. Step 2: Convert to fraction form
    472,886.68/651,821.10 = 319,868.98/x
  3. Step 3: Cross multiply
    472,886.68x = 651,821.10 × 319,868.98
  4. Step 4: Simplify right side
    472,886.68x = 208,497,350,399.48
  5. Step 5: Solve for x
    x = 208,497,350,399.48/472,886.68
  6. Step 6: Final answer
    x = 440,903.41

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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.