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Finding the Fourth Proportional to 364,428.80, 546,643.20 and 342,267.20

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Solution

The fourth proportional to 364,428.80, 546,643.20 and 342,267.20 is: 513,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,428.80 : 546,643.20 = 342,267.20 : x
  2. Step 2: Convert to fraction form
    364,428.80/546,643.20 = 342,267.20/x
  3. Step 3: Cross multiply
    364,428.80x = 546,643.20 × 342,267.20
  4. Step 4: Simplify right side
    364,428.80x = 187,098,037,463.04
  5. Step 5: Solve for x
    x = 187,098,037,463.04/364,428.80
  6. Step 6: Final answer
    x = 513,400.80

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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.