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Finding the Fourth Proportional to 346,429.72, 519,699.30 and 146,751.40

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Solution

The fourth proportional to 346,429.72, 519,699.30 and 146,751.40 is: 220,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,429.72 : 519,699.30 = 146,751.40 : x
  2. Step 2: Convert to fraction form
    346,429.72/519,699.30 = 146,751.40/x
  3. Step 3: Cross multiply
    346,429.72x = 519,699.30 × 146,751.40
  4. Step 4: Simplify right side
    346,429.72x = 76,266,599,854.02
  5. Step 5: Solve for x
    x = 76,266,599,854.02/346,429.72
  6. Step 6: Final answer
    x = 220,150.28

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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.