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Finding the Fourth Proportional to 679,776, 1,018,964.15 and 364,148.16

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Solution

The fourth proportional to 679,776, 1,018,964.15 and 364,148.16 is: 545,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,776 : 1,018,964.15 = 364,148.16 : x
  2. Step 2: Convert to fraction form
    679,776/1,018,964.15 = 364,148.16/x
  3. Step 3: Cross multiply
    679,776x = 1,018,964.15 × 364,148.16
  4. Step 4: Simplify right side
    679,776x = 371,053,920,328.46
  5. Step 5: Solve for x
    x = 371,053,920,328.46/679,776
  6. Step 6: Final answer
    x = 545,847.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.