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Finding the Fourth Proportional to 398,089.94, 549,387.18 and 299,797.16

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Solution

The fourth proportional to 398,089.94, 549,387.18 and 299,797.16 is: 413,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,089.94 : 549,387.18 = 299,797.16 : x
  2. Step 2: Convert to fraction form
    398,089.94/549,387.18 = 299,797.16/x
  3. Step 3: Cross multiply
    398,089.94x = 549,387.18 × 299,797.16
  4. Step 4: Simplify right side
    398,089.94x = 164,704,713,557.47
  5. Step 5: Solve for x
    x = 164,704,713,557.47/398,089.94
  6. Step 6: Final answer
    x = 413,737.45

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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.