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Finding the Fourth Proportional to 357,666.40, 535,916.40 and 307,511.20

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Solution

The fourth proportional to 357,666.40, 535,916.40 and 307,511.20 is: 460,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,666.40 : 535,916.40 = 307,511.20 : x
  2. Step 2: Convert to fraction form
    357,666.40/535,916.40 = 307,511.20/x
  3. Step 3: Cross multiply
    357,666.40x = 535,916.40 × 307,511.20
  4. Step 4: Simplify right side
    357,666.40x = 164,800,295,263.68
  5. Step 5: Solve for x
    x = 164,800,295,263.68/357,666.40
  6. Step 6: Final answer
    x = 460,765.38

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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.