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Finding the Fourth Proportional to 385,298.60, 577,948.71 and 207,889.16

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Solution

The fourth proportional to 385,298.60, 577,948.71 and 207,889.16 is: 311,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,298.60 : 577,948.71 = 207,889.16 : x
  2. Step 2: Convert to fraction form
    385,298.60/577,948.71 = 207,889.16/x
  3. Step 3: Cross multiply
    385,298.60x = 577,948.71 × 207,889.16
  4. Step 4: Simplify right side
    385,298.60x = 120,149,271,844.98
  5. Step 5: Solve for x
    x = 120,149,271,844.98/385,298.60
  6. Step 6: Final answer
    x = 311,834.18

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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.