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Finding the Fourth Proportional to 397,980.47, 549,223.52 and 216,700.04

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Solution

The fourth proportional to 397,980.47, 549,223.52 and 216,700.04 is: 299,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,980.47 : 549,223.52 = 216,700.04 : x
  2. Step 2: Convert to fraction form
    397,980.47/549,223.52 = 216,700.04/x
  3. Step 3: Cross multiply
    397,980.47x = 549,223.52 × 216,700.04
  4. Step 4: Simplify right side
    397,980.47x = 119,016,754,923.32
  5. Step 5: Solve for x
    x = 119,016,754,923.32/397,980.47
  6. Step 6: Final answer
    x = 299,051.75

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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.