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Finding the Fourth Proportional to 511,095.02, 705,312.14 and 307,149.05

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Solution

The fourth proportional to 511,095.02, 705,312.14 and 307,149.05 is: 423,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,095.02 : 705,312.14 = 307,149.05 : x
  2. Step 2: Convert to fraction form
    511,095.02/705,312.14 = 307,149.05/x
  3. Step 3: Cross multiply
    511,095.02x = 705,312.14 × 307,149.05
  4. Step 4: Simplify right side
    511,095.02x = 216,635,953,982.00
  5. Step 5: Solve for x
    x = 216,635,953,982.00/511,095.02
  6. Step 6: Final answer
    x = 423,866.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.