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Finding the Fourth Proportional to 586,978.20, 880,467.30 and 143,746.20

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Solution

The fourth proportional to 586,978.20, 880,467.30 and 143,746.20 is: 215,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,978.20 : 880,467.30 = 143,746.20 : x
  2. Step 2: Convert to fraction form
    586,978.20/880,467.30 = 143,746.20/x
  3. Step 3: Cross multiply
    586,978.20x = 880,467.30 × 143,746.20
  4. Step 4: Simplify right side
    586,978.20x = 126,563,828,599.26
  5. Step 5: Solve for x
    x = 126,563,828,599.26/586,978.20
  6. Step 6: Final answer
    x = 215,619.30

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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.