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Finding the Fourth Proportional to 397,866.78, 549,172.11 and 260,065.74

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Solution

The fourth proportional to 397,866.78, 549,172.11 and 260,065.74 is: 358,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,866.78 : 549,172.11 = 260,065.74 : x
  2. Step 2: Convert to fraction form
    397,866.78/549,172.11 = 260,065.74/x
  3. Step 3: Cross multiply
    397,866.78x = 549,172.11 × 260,065.74
  4. Step 4: Simplify right side
    397,866.78x = 142,820,851,174.51
  5. Step 5: Solve for x
    x = 142,820,851,174.51/397,866.78
  6. Step 6: Final answer
    x = 358,966.51

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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.