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Finding the Fourth Proportional to 355,140.30, 532,710.45 and 316,433.10

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Solution

The fourth proportional to 355,140.30, 532,710.45 and 316,433.10 is: 474,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,140.30 : 532,710.45 = 316,433.10 : x
  2. Step 2: Convert to fraction form
    355,140.30/532,710.45 = 316,433.10/x
  3. Step 3: Cross multiply
    355,140.30x = 532,710.45 × 316,433.10
  4. Step 4: Simplify right side
    355,140.30x = 168,567,219,095.90
  5. Step 5: Solve for x
    x = 168,567,219,095.90/355,140.30
  6. Step 6: Final answer
    x = 474,649.65

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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.