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Finding the Fourth Proportional to 549,657.70, 824,006.55 and 212,928.10

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Solution

The fourth proportional to 549,657.70, 824,006.55 and 212,928.10 is: 319,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,657.70 : 824,006.55 = 212,928.10 : x
  2. Step 2: Convert to fraction form
    549,657.70/824,006.55 = 212,928.10/x
  3. Step 3: Cross multiply
    549,657.70x = 824,006.55 × 212,928.10
  4. Step 4: Simplify right side
    549,657.70x = 175,454,149,079.06
  5. Step 5: Solve for x
    x = 175,454,149,079.06/549,657.70
  6. Step 6: Final answer
    x = 319,206.21

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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.