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Finding the Fourth Proportional to 398,158.69, 549,459.75 and 216,870.06

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Solution

The fourth proportional to 398,158.69, 549,459.75 and 216,870.06 is: 299,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,158.69 : 549,459.75 = 216,870.06 : x
  2. Step 2: Convert to fraction form
    398,158.69/549,459.75 = 216,870.06/x
  3. Step 3: Cross multiply
    398,158.69x = 549,459.75 × 216,870.06
  4. Step 4: Simplify right side
    398,158.69x = 119,161,368,733.11
  5. Step 5: Solve for x
    x = 119,161,368,733.11/398,158.69
  6. Step 6: Final answer
    x = 299,281.10

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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.