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Finding the Fourth Proportional to 346,510.20, 519,765.30 and 212,957.40

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Solution

The fourth proportional to 346,510.20, 519,765.30 and 212,957.40 is: 319,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,510.20 : 519,765.30 = 212,957.40 : x
  2. Step 2: Convert to fraction form
    346,510.20/519,765.30 = 212,957.40/x
  3. Step 3: Cross multiply
    346,510.20x = 519,765.30 × 212,957.40
  4. Step 4: Simplify right side
    346,510.20x = 110,687,866,898.22
  5. Step 5: Solve for x
    x = 110,687,866,898.22/346,510.20
  6. Step 6: Final answer
    x = 319,436.10

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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.