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Finding the Fourth Proportional to 370,978.30, 556,182.31 and 188,459.05

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Solution

The fourth proportional to 370,978.30, 556,182.31 and 188,459.05 is: 282,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,978.30 : 556,182.31 = 188,459.05 : x
  2. Step 2: Convert to fraction form
    370,978.30/556,182.31 = 188,459.05/x
  3. Step 3: Cross multiply
    370,978.30x = 556,182.31 × 188,459.05
  4. Step 4: Simplify right side
    370,978.30x = 104,817,587,925.04
  5. Step 5: Solve for x
    x = 104,817,587,925.04/370,978.30
  6. Step 6: Final answer
    x = 282,543.72

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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.