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Finding the Fourth Proportional to 564,127.36, 778,495.84 and 309,478.48

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Solution

The fourth proportional to 564,127.36, 778,495.84 and 309,478.48 is: 427,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,127.36 : 778,495.84 = 309,478.48 : x
  2. Step 2: Convert to fraction form
    564,127.36/778,495.84 = 309,478.48/x
  3. Step 3: Cross multiply
    564,127.36x = 778,495.84 × 309,478.48
  4. Step 4: Simplify right side
    564,127.36x = 240,927,709,249.52
  5. Step 5: Solve for x
    x = 240,927,709,249.52/564,127.36
  6. Step 6: Final answer
    x = 427,080.35

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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.