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Finding the Fourth Proportional to 586,978.40, 880,078.80 and 212,952.80

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Solution

The fourth proportional to 586,978.40, 880,078.80 and 212,952.80 is: 319,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,978.40 : 880,078.80 = 212,952.80 : x
  2. Step 2: Convert to fraction form
    586,978.40/880,078.80 = 212,952.80/x
  3. Step 3: Cross multiply
    586,978.40x = 880,078.80 × 212,952.80
  4. Step 4: Simplify right side
    586,978.40x = 187,415,244,680.64
  5. Step 5: Solve for x
    x = 187,415,244,680.64/586,978.40
  6. Step 6: Final answer
    x = 319,288.15

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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.