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Finding the Fourth Proportional to 560,271.94, 840,294.51 and 205,164.70

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Solution

The fourth proportional to 560,271.94, 840,294.51 and 205,164.70 is: 307,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,271.94 : 840,294.51 = 205,164.70 : x
  2. Step 2: Convert to fraction form
    560,271.94/840,294.51 = 205,164.70/x
  3. Step 3: Cross multiply
    560,271.94x = 840,294.51 × 205,164.70
  4. Step 4: Simplify right side
    560,271.94x = 172,398,771,055.80
  5. Step 5: Solve for x
    x = 172,398,771,055.80/560,271.94
  6. Step 6: Final answer
    x = 307,705.52

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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.