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Finding the Fourth Proportional to 478,095.14, 718,366.72 and 360,870.50

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Solution

The fourth proportional to 478,095.14, 718,366.72 and 360,870.50 is: 542,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,095.14 : 718,366.72 = 360,870.50 : x
  2. Step 2: Convert to fraction form
    478,095.14/718,366.72 = 360,870.50/x
  3. Step 3: Cross multiply
    478,095.14x = 718,366.72 × 360,870.50
  4. Step 4: Simplify right side
    478,095.14x = 259,237,357,429.76
  5. Step 5: Solve for x
    x = 259,237,357,429.76/478,095.14
  6. Step 6: Final answer
    x = 542,229.64

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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.